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Finding the Fourth Proportional to 15,006, 20,708.32 and 8,382

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Solution

The fourth proportional to 15,006, 20,708.32 and 8,382 is: 11,567.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006 : 20,708.32 = 8,382 : x
  2. Step 2: Convert to fraction form
    15,006/20,708.32 = 8,382/x
  3. Step 3: Cross multiply
    15,006x = 20,708.32 × 8,382
  4. Step 4: Simplify right side
    15,006x = 173,577,138.24
  5. Step 5: Solve for x
    x = 173,577,138.24/15,006
  6. Step 6: Final answer
    x = 11,567.18

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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.