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Finding the Fourth Proportional to 8,340.40, 12,489.44 and 5,006.57

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Solution

The fourth proportional to 8,340.40, 12,489.44 and 5,006.57 is: 7,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.40 : 12,489.44 = 5,006.57 : x
  2. Step 2: Convert to fraction form
    8,340.40/12,489.44 = 5,006.57/x
  3. Step 3: Cross multiply
    8,340.40x = 12,489.44 × 5,006.57
  4. Step 4: Simplify right side
    8,340.40x = 62,529,261.81
  5. Step 5: Solve for x
    x = 62,529,261.81/8,340.40
  6. Step 6: Final answer
    x = 7,497.16

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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.