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Finding the Fourth Proportional to 8,232.60, 12,340.68 and 5,312.96

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Solution

The fourth proportional to 8,232.60, 12,340.68 and 5,312.96 is: 7,964.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.60 : 12,340.68 = 5,312.96 : x
  2. Step 2: Convert to fraction form
    8,232.60/12,340.68 = 5,312.96/x
  3. Step 3: Cross multiply
    8,232.60x = 12,340.68 × 5,312.96
  4. Step 4: Simplify right side
    8,232.60x = 65,565,539.21
  5. Step 5: Solve for x
    x = 65,565,539.21/8,232.60
  6. Step 6: Final answer
    x = 7,964.14

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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.