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Finding the Fourth Proportional to 8,632, 12,952.32 and 3,952

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Solution

The fourth proportional to 8,632, 12,952.32 and 3,952 is: 5,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632 : 12,952.32 = 3,952 : x
  2. Step 2: Convert to fraction form
    8,632/12,952.32 = 3,952/x
  3. Step 3: Cross multiply
    8,632x = 12,952.32 × 3,952
  4. Step 4: Simplify right side
    8,632x = 51,187,568.64
  5. Step 5: Solve for x
    x = 51,187,568.64/8,632
  6. Step 6: Final answer
    x = 5,929.98

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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.