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Finding the Fourth Proportional to 16,489.92, 22,756.80 and 9,416.88

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Solution

The fourth proportional to 16,489.92, 22,756.80 and 9,416.88 is: 12,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.92 : 22,756.80 = 9,416.88 : x
  2. Step 2: Convert to fraction form
    16,489.92/22,756.80 = 9,416.88/x
  3. Step 3: Cross multiply
    16,489.92x = 22,756.80 × 9,416.88
  4. Step 4: Simplify right side
    16,489.92x = 214,298,054.78
  5. Step 5: Solve for x
    x = 214,298,054.78/16,489.92
  6. Step 6: Final answer
    x = 12,995.70

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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.