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Finding the Fourth Proportional to 22,142, 30,557.88 and 12,207.92

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Solution

The fourth proportional to 22,142, 30,557.88 and 12,207.92 is: 16,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142 : 30,557.88 = 12,207.92 : x
  2. Step 2: Convert to fraction form
    22,142/30,557.88 = 12,207.92/x
  3. Step 3: Cross multiply
    22,142x = 30,557.88 × 12,207.92
  4. Step 4: Simplify right side
    22,142x = 373,048,154.41
  5. Step 5: Solve for x
    x = 373,048,154.41/22,142
  6. Step 6: Final answer
    x = 16,847.99

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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.