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Finding the Fourth Proportional to 16,353.66, 22,561.90 and 9,978.02

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Solution

The fourth proportional to 16,353.66, 22,561.90 and 9,978.02 is: 13,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353.66 : 22,561.90 = 9,978.02 : x
  2. Step 2: Convert to fraction form
    16,353.66/22,561.90 = 9,978.02/x
  3. Step 3: Cross multiply
    16,353.66x = 22,561.90 × 9,978.02
  4. Step 4: Simplify right side
    16,353.66x = 225,123,089.44
  5. Step 5: Solve for x
    x = 225,123,089.44/16,353.66
  6. Step 6: Final answer
    x = 13,765.91

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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.