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Finding the Fourth Proportional to 15,122.16, 20,860.92 and 9,819.92

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Solution

The fourth proportional to 15,122.16, 20,860.92 and 9,819.92 is: 13,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.16 : 20,860.92 = 9,819.92 : x
  2. Step 2: Convert to fraction form
    15,122.16/20,860.92 = 9,819.92/x
  3. Step 3: Cross multiply
    15,122.16x = 20,860.92 × 9,819.92
  4. Step 4: Simplify right side
    15,122.16x = 204,852,565.53
  5. Step 5: Solve for x
    x = 204,852,565.53/15,122.16
  6. Step 6: Final answer
    x = 13,546.51

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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.