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Finding the Fourth Proportional to 25,500.32, 38,251.84 and 7,971.51

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Solution

The fourth proportional to 25,500.32, 38,251.84 and 7,971.51 is: 11,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,500.32 : 38,251.84 = 7,971.51 : x
  2. Step 2: Convert to fraction form
    25,500.32/38,251.84 = 7,971.51/x
  3. Step 3: Cross multiply
    25,500.32x = 38,251.84 × 7,971.51
  4. Step 4: Simplify right side
    25,500.32x = 304,924,885.22
  5. Step 5: Solve for x
    x = 304,924,885.22/25,500.32
  6. Step 6: Final answer
    x = 11,957.69

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