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Finding the Fourth Proportional to 7,179.60, 10,762.91 and 6,402

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Solution

The fourth proportional to 7,179.60, 10,762.91 and 6,402 is: 9,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179.60 : 10,762.91 = 6,402 : x
  2. Step 2: Convert to fraction form
    7,179.60/10,762.91 = 6,402/x
  3. Step 3: Cross multiply
    7,179.60x = 10,762.91 × 6,402
  4. Step 4: Simplify right side
    7,179.60x = 68,904,149.82
  5. Step 5: Solve for x
    x = 68,904,149.82/7,179.60
  6. Step 6: Final answer
    x = 9,597.21

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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.