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Finding the Fourth Proportional to 6,431.76, 9,632.20 and 5,502

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Solution

The fourth proportional to 6,431.76, 9,632.20 and 5,502 is: 8,239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.76 : 9,632.20 = 5,502 : x
  2. Step 2: Convert to fraction form
    6,431.76/9,632.20 = 5,502/x
  3. Step 3: Cross multiply
    6,431.76x = 9,632.20 × 5,502
  4. Step 4: Simplify right side
    6,431.76x = 52,996,364.40
  5. Step 5: Solve for x
    x = 52,996,364.40/6,431.76
  6. Step 6: Final answer
    x = 8,239.79

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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.