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Finding the Fourth Proportional to 16,538.94, 22,824.16 and 8,985.20

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Solution

The fourth proportional to 16,538.94, 22,824.16 and 8,985.20 is: 12,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.94 : 22,824.16 = 8,985.20 : x
  2. Step 2: Convert to fraction form
    16,538.94/22,824.16 = 8,985.20/x
  3. Step 3: Cross multiply
    16,538.94x = 22,824.16 × 8,985.20
  4. Step 4: Simplify right side
    16,538.94x = 205,079,505.85
  5. Step 5: Solve for x
    x = 205,079,505.85/16,538.94
  6. Step 6: Final answer
    x = 12,399.80

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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.