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Finding the Fourth Proportional to 12,663.76, 17,484.24 and 11,335.20

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Solution

The fourth proportional to 12,663.76, 17,484.24 and 11,335.20 is: 15,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.76 : 17,484.24 = 11,335.20 : x
  2. Step 2: Convert to fraction form
    12,663.76/17,484.24 = 11,335.20/x
  3. Step 3: Cross multiply
    12,663.76x = 17,484.24 × 11,335.20
  4. Step 4: Simplify right side
    12,663.76x = 198,187,357.25
  5. Step 5: Solve for x
    x = 198,187,357.25/12,663.76
  6. Step 6: Final answer
    x = 15,649.96

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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.