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Finding the Fourth Proportional to 1,761.76, 2,431.08 and 1,098.76

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Solution

The fourth proportional to 1,761.76, 2,431.08 and 1,098.76 is: 1,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.76 : 2,431.08 = 1,098.76 : x
  2. Step 2: Convert to fraction form
    1,761.76/2,431.08 = 1,098.76/x
  3. Step 3: Cross multiply
    1,761.76x = 2,431.08 × 1,098.76
  4. Step 4: Simplify right side
    1,761.76x = 2,671,173.46
  5. Step 5: Solve for x
    x = 2,671,173.46/1,761.76
  6. Step 6: Final answer
    x = 1,516.20

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,762.76, 2,432.46 and 1,099.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.