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Finding the Fourth Proportional to 10,654.01, 15,981 and 2,862.82

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Solution

The fourth proportional to 10,654.01, 15,981 and 2,862.82 is: 4,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.01 : 15,981 = 2,862.82 : x
  2. Step 2: Convert to fraction form
    10,654.01/15,981 = 2,862.82/x
  3. Step 3: Cross multiply
    10,654.01x = 15,981 × 2,862.82
  4. Step 4: Simplify right side
    10,654.01x = 45,750,746.40
  5. Step 5: Solve for x
    x = 45,750,746.40/10,654.01
  6. Step 6: Final answer
    x = 4,294.23

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1.5x scale

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.