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Finding the Fourth Proportional to 15,072, 20,799.40 and 8,448

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Solution

The fourth proportional to 15,072, 20,799.40 and 8,448 is: 11,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072 : 20,799.40 = 8,448 : x
  2. Step 2: Convert to fraction form
    15,072/20,799.40 = 8,448/x
  3. Step 3: Cross multiply
    15,072x = 20,799.40 × 8,448
  4. Step 4: Simplify right side
    15,072x = 175,713,331.20
  5. Step 5: Solve for x
    x = 175,713,331.20/15,072
  6. Step 6: Final answer
    x = 11,658.26

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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.