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Finding the Fourth Proportional to 5,154.13, 7,731.19 and 1,258.53

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Solution

The fourth proportional to 5,154.13, 7,731.19 and 1,258.53 is: 1,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.13 : 7,731.19 = 1,258.53 : x
  2. Step 2: Convert to fraction form
    5,154.13/7,731.19 = 1,258.53/x
  3. Step 3: Cross multiply
    5,154.13x = 7,731.19 × 1,258.53
  4. Step 4: Simplify right side
    5,154.13x = 9,729,934.55
  5. Step 5: Solve for x
    x = 9,729,934.55/5,154.13
  6. Step 6: Final answer
    x = 1,887.80

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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.