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Finding the Fourth Proportional to 11,221, 15,489.84 and 7,031.68

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Solution

The fourth proportional to 11,221, 15,489.84 and 7,031.68 is: 9,706.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221 : 15,489.84 = 7,031.68 : x
  2. Step 2: Convert to fraction form
    11,221/15,489.84 = 7,031.68/x
  3. Step 3: Cross multiply
    11,221x = 15,489.84 × 7,031.68
  4. Step 4: Simplify right side
    11,221x = 108,919,598.13
  5. Step 5: Solve for x
    x = 108,919,598.13/11,221
  6. Step 6: Final answer
    x = 9,706.76

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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.