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Finding the Fourth Proportional to 7,344, 10,997.10 and 5,129.64

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Solution

The fourth proportional to 7,344, 10,997.10 and 5,129.64 is: 7,681.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,344 : 10,997.10 = 5,129.64 : x
  2. Step 2: Convert to fraction form
    7,344/10,997.10 = 5,129.64/x
  3. Step 3: Cross multiply
    7,344x = 10,997.10 × 5,129.64
  4. Step 4: Simplify right side
    7,344x = 56,411,164.04
  5. Step 5: Solve for x
    x = 56,411,164.04/7,344
  6. Step 6: Final answer
    x = 7,681.26

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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.