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Finding the Fourth Proportional to 6,422.88, 9,612.39 and 5,384.04

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Solution

The fourth proportional to 6,422.88, 9,612.39 and 5,384.04 is: 8,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.88 : 9,612.39 = 5,384.04 : x
  2. Step 2: Convert to fraction form
    6,422.88/9,612.39 = 5,384.04/x
  3. Step 3: Cross multiply
    6,422.88x = 9,612.39 × 5,384.04
  4. Step 4: Simplify right side
    6,422.88x = 51,753,492.26
  5. Step 5: Solve for x
    x = 51,753,492.26/6,422.88
  6. Step 6: Final answer
    x = 8,057.68

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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.