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Finding the Fourth Proportional to 1,532.76, 2,114.54 and 1,199.85

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Solution

The fourth proportional to 1,532.76, 2,114.54 and 1,199.85 is: 1,655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.76 : 2,114.54 = 1,199.85 : x
  2. Step 2: Convert to fraction form
    1,532.76/2,114.54 = 1,199.85/x
  3. Step 3: Cross multiply
    1,532.76x = 2,114.54 × 1,199.85
  4. Step 4: Simplify right side
    1,532.76x = 2,537,130.82
  5. Step 5: Solve for x
    x = 2,537,130.82/1,532.76
  6. Step 6: Final answer
    x = 1,655.27

Related Problems

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Half scale
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Double scale
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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.