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Finding the Fourth Proportional to 15,781.92, 21,781.08 and 13,124.76

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Solution

The fourth proportional to 15,781.92, 21,781.08 and 13,124.76 is: 18,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.92 : 21,781.08 = 13,124.76 : x
  2. Step 2: Convert to fraction form
    15,781.92/21,781.08 = 13,124.76/x
  3. Step 3: Cross multiply
    15,781.92x = 21,781.08 × 13,124.76
  4. Step 4: Simplify right side
    15,781.92x = 285,871,447.54
  5. Step 5: Solve for x
    x = 285,871,447.54/15,781.92
  6. Step 6: Final answer
    x = 18,113.86

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1.5x scale

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.