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Finding the Fourth Proportional to 21,691.76, 32,538.56 and 6,899.14

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Solution

The fourth proportional to 21,691.76, 32,538.56 and 6,899.14 is: 10,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.76 : 32,538.56 = 6,899.14 : x
  2. Step 2: Convert to fraction form
    21,691.76/32,538.56 = 6,899.14/x
  3. Step 3: Cross multiply
    21,691.76x = 32,538.56 × 6,899.14
  4. Step 4: Simplify right side
    21,691.76x = 224,488,080.84
  5. Step 5: Solve for x
    x = 224,488,080.84/21,691.76
  6. Step 6: Final answer
    x = 10,349.00

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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.