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Finding the Fourth Proportional to 16,030.96, 22,122 and 8,956

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Solution

The fourth proportional to 16,030.96, 22,122 and 8,956 is: 12,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030.96 : 22,122 = 8,956 : x
  2. Step 2: Convert to fraction form
    16,030.96/22,122 = 8,956/x
  3. Step 3: Cross multiply
    16,030.96x = 22,122 × 8,956
  4. Step 4: Simplify right side
    16,030.96x = 198,124,632
  5. Step 5: Solve for x
    x = 198,124,632/16,030.96
  6. Step 6: Final answer
    x = 12,358.88

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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.