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Finding the Fourth Proportional to 8,325.76, 12,489.12 and 3,131.68

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Solution

The fourth proportional to 8,325.76, 12,489.12 and 3,131.68 is: 4,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.76 : 12,489.12 = 3,131.68 : x
  2. Step 2: Convert to fraction form
    8,325.76/12,489.12 = 3,131.68/x
  3. Step 3: Cross multiply
    8,325.76x = 12,489.12 × 3,131.68
  4. Step 4: Simplify right side
    8,325.76x = 39,111,927.32
  5. Step 5: Solve for x
    x = 39,111,927.32/8,325.76
  6. Step 6: Final answer
    x = 4,697.70

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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.