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Finding the Fourth Proportional to 1,612.32, 2,402.60 and 1,524

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Solution

The fourth proportional to 1,612.32, 2,402.60 and 1,524 is: 2,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.32 : 2,402.60 = 1,524 : x
  2. Step 2: Convert to fraction form
    1,612.32/2,402.60 = 1,524/x
  3. Step 3: Cross multiply
    1,612.32x = 2,402.60 × 1,524
  4. Step 4: Simplify right side
    1,612.32x = 3,661,562.40
  5. Step 5: Solve for x
    x = 3,661,562.40/1,612.32
  6. Step 6: Final answer
    x = 2,270.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.