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Finding the Fourth Proportional to 16,656.43, 22,985.47 and 9,102.78

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Solution

The fourth proportional to 16,656.43, 22,985.47 and 9,102.78 is: 12,561.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,656.43 : 22,985.47 = 9,102.78 : x
  2. Step 2: Convert to fraction form
    16,656.43/22,985.47 = 9,102.78/x
  3. Step 3: Cross multiply
    16,656.43x = 22,985.47 × 9,102.78
  4. Step 4: Simplify right side
    16,656.43x = 209,231,676.61
  5. Step 5: Solve for x
    x = 209,231,676.61/16,656.43
  6. Step 6: Final answer
    x = 12,561.62

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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.