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Finding the Fourth Proportional to 1,287.29, 1,775.12 and 1,037.61

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Solution

The fourth proportional to 1,287.29, 1,775.12 and 1,037.61 is: 1,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.29 : 1,775.12 = 1,037.61 : x
  2. Step 2: Convert to fraction form
    1,287.29/1,775.12 = 1,037.61/x
  3. Step 3: Cross multiply
    1,287.29x = 1,775.12 × 1,037.61
  4. Step 4: Simplify right side
    1,287.29x = 1,841,877.08
  5. Step 5: Solve for x
    x = 1,841,877.08/1,287.29
  6. Step 6: Final answer
    x = 1,430.81

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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.