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Finding the Fourth Proportional to 12,221.14, 16,864.05 and 6,915.10

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Solution

The fourth proportional to 12,221.14, 16,864.05 and 6,915.10 is: 9,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.14 : 16,864.05 = 6,915.10 : x
  2. Step 2: Convert to fraction form
    12,221.14/16,864.05 = 6,915.10/x
  3. Step 3: Cross multiply
    12,221.14x = 16,864.05 × 6,915.10
  4. Step 4: Simplify right side
    12,221.14x = 116,616,592.16
  5. Step 5: Solve for x
    x = 116,616,592.16/12,221.14
  6. Step 6: Final answer
    x = 9,542.20

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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.