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Finding the Fourth Proportional to 16,609.68, 22,921.47 and 9,157.68

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Solution

The fourth proportional to 16,609.68, 22,921.47 and 9,157.68 is: 12,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,609.68 : 22,921.47 = 9,157.68 : x
  2. Step 2: Convert to fraction form
    16,609.68/22,921.47 = 9,157.68/x
  3. Step 3: Cross multiply
    16,609.68x = 22,921.47 × 9,157.68
  4. Step 4: Simplify right side
    16,609.68x = 209,907,487.39
  5. Step 5: Solve for x
    x = 209,907,487.39/16,609.68
  6. Step 6: Final answer
    x = 12,637.66

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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.