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Finding the Fourth Proportional to 12,885.92, 17,780.54 and 7,220.24

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Solution

The fourth proportional to 12,885.92, 17,780.54 and 7,220.24 is: 9,962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885.92 : 17,780.54 = 7,220.24 : x
  2. Step 2: Convert to fraction form
    12,885.92/17,780.54 = 7,220.24/x
  3. Step 3: Cross multiply
    12,885.92x = 17,780.54 × 7,220.24
  4. Step 4: Simplify right side
    12,885.92x = 128,379,766.13
  5. Step 5: Solve for x
    x = 128,379,766.13/12,885.92
  6. Step 6: Final answer
    x = 9,962.79

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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.