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Finding the Fourth Proportional to 12,461.60, 17,197.08 and 7,156.64

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Solution

The fourth proportional to 12,461.60, 17,197.08 and 7,156.64 is: 9,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.60 : 17,197.08 = 7,156.64 : x
  2. Step 2: Convert to fraction form
    12,461.60/17,197.08 = 7,156.64/x
  3. Step 3: Cross multiply
    12,461.60x = 17,197.08 × 7,156.64
  4. Step 4: Simplify right side
    12,461.60x = 123,073,310.61
  5. Step 5: Solve for x
    x = 123,073,310.61/12,461.60
  6. Step 6: Final answer
    x = 9,876.20

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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.