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Finding the Fourth Proportional to 1,862.39, 2,792.48 and 766.13

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Solution

The fourth proportional to 1,862.39, 2,792.48 and 766.13 is: 1,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.39 : 2,792.48 = 766.13 : x
  2. Step 2: Convert to fraction form
    1,862.39/2,792.48 = 766.13/x
  3. Step 3: Cross multiply
    1,862.39x = 2,792.48 × 766.13
  4. Step 4: Simplify right side
    1,862.39x = 2,139,384.91
  5. Step 5: Solve for x
    x = 2,139,384.91/1,862.39
  6. Step 6: Final answer
    x = 1,148.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.