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Finding the Fourth Proportional to 12,446.78, 17,179.08 and 7,145.24

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Solution

The fourth proportional to 12,446.78, 17,179.08 and 7,145.24 is: 9,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.78 : 17,179.08 = 7,145.24 : x
  2. Step 2: Convert to fraction form
    12,446.78/17,179.08 = 7,145.24/x
  3. Step 3: Cross multiply
    12,446.78x = 17,179.08 × 7,145.24
  4. Step 4: Simplify right side
    12,446.78x = 122,748,649.58
  5. Step 5: Solve for x
    x = 122,748,649.58/12,446.78
  6. Step 6: Final answer
    x = 9,861.88

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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.