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Finding the Fourth Proportional to 3,150.76, 4,342.50 and 2,562.76

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Solution

The fourth proportional to 3,150.76, 4,342.50 and 2,562.76 is: 3,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150.76 : 4,342.50 = 2,562.76 : x
  2. Step 2: Convert to fraction form
    3,150.76/4,342.50 = 2,562.76/x
  3. Step 3: Cross multiply
    3,150.76x = 4,342.50 × 2,562.76
  4. Step 4: Simplify right side
    3,150.76x = 11,128,785.30
  5. Step 5: Solve for x
    x = 11,128,785.30/3,150.76
  6. Step 6: Final answer
    x = 3,532.10

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Half scale
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Double scale
Find fourth proportional to 3,151.76, 4,343.88 and 2,563.76
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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.