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Finding the Fourth Proportional to 11,656, 17,484.12 and 6,472.78

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Solution

The fourth proportional to 11,656, 17,484.12 and 6,472.78 is: 9,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656 : 17,484.12 = 6,472.78 : x
  2. Step 2: Convert to fraction form
    11,656/17,484.12 = 6,472.78/x
  3. Step 3: Cross multiply
    11,656x = 17,484.12 × 6,472.78
  4. Step 4: Simplify right side
    11,656x = 113,170,862.25
  5. Step 5: Solve for x
    x = 113,170,862.25/11,656
  6. Step 6: Final answer
    x = 9,709.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.