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Finding the Fourth Proportional to 15,072.25, 20,799.96 and 8,358.16

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Solution

The fourth proportional to 15,072.25, 20,799.96 and 8,358.16 is: 11,534.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,072.25 : 20,799.96 = 8,358.16 : x
  2. Step 2: Convert to fraction form
    15,072.25/20,799.96 = 8,358.16/x
  3. Step 3: Cross multiply
    15,072.25x = 20,799.96 × 8,358.16
  4. Step 4: Simplify right side
    15,072.25x = 173,849,424.78
  5. Step 5: Solve for x
    x = 173,849,424.78/15,072.25
  6. Step 6: Final answer
    x = 11,534.40

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1.5x scale

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.