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Finding the Fourth Proportional to 5,344, 7,372.88 and 2,985.60

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Solution

The fourth proportional to 5,344, 7,372.88 and 2,985.60 is: 4,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344 : 7,372.88 = 2,985.60 : x
  2. Step 2: Convert to fraction form
    5,344/7,372.88 = 2,985.60/x
  3. Step 3: Cross multiply
    5,344x = 7,372.88 × 2,985.60
  4. Step 4: Simplify right side
    5,344x = 22,012,470.53
  5. Step 5: Solve for x
    x = 22,012,470.53/5,344
  6. Step 6: Final answer
    x = 4,119.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.