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Finding the Fourth Proportional to 7,344, 10,134.72 and 4,032

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Solution

The fourth proportional to 7,344, 10,134.72 and 4,032 is: 5,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344 : 10,134.72 = 4,032 : x
  2. Step 2: Convert to fraction form
    7,344/10,134.72 = 4,032/x
  3. Step 3: Cross multiply
    7,344x = 10,134.72 × 4,032
  4. Step 4: Simplify right side
    7,344x = 40,863,191.04
  5. Step 5: Solve for x
    x = 40,863,191.04/7,344
  6. Step 6: Final answer
    x = 5,564.16

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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.