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Finding the Fourth Proportional to 21,926.64, 32,894.80 and 7,691.68

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Solution

The fourth proportional to 21,926.64, 32,894.80 and 7,691.68 is: 11,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,926.64 : 32,894.80 = 7,691.68 : x
  2. Step 2: Convert to fraction form
    21,926.64/32,894.80 = 7,691.68/x
  3. Step 3: Cross multiply
    21,926.64x = 32,894.80 × 7,691.68
  4. Step 4: Simplify right side
    21,926.64x = 253,016,275.26
  5. Step 5: Solve for x
    x = 253,016,275.26/21,926.64
  6. Step 6: Final answer
    x = 11,539.22

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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.