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Finding the Fourth Proportional to 8,536.32, 12,810.96 and 5,902.20

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Solution

The fourth proportional to 8,536.32, 12,810.96 and 5,902.20 is: 8,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.32 : 12,810.96 = 5,902.20 : x
  2. Step 2: Convert to fraction form
    8,536.32/12,810.96 = 5,902.20/x
  3. Step 3: Cross multiply
    8,536.32x = 12,810.96 × 5,902.20
  4. Step 4: Simplify right side
    8,536.32x = 75,612,848.11
  5. Step 5: Solve for x
    x = 75,612,848.11/8,536.32
  6. Step 6: Final answer
    x = 8,857.78

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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.