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Finding the Fourth Proportional to 8,244.64, 12,342.50 and 7,400.08

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Solution

The fourth proportional to 8,244.64, 12,342.50 and 7,400.08 is: 11,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.64 : 12,342.50 = 7,400.08 : x
  2. Step 2: Convert to fraction form
    8,244.64/12,342.50 = 7,400.08/x
  3. Step 3: Cross multiply
    8,244.64x = 12,342.50 × 7,400.08
  4. Step 4: Simplify right side
    8,244.64x = 91,335,487.40
  5. Step 5: Solve for x
    x = 91,335,487.40/8,244.64
  6. Step 6: Final answer
    x = 11,078.17

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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.