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Finding the Fourth Proportional to 15,105.81, 22,659.17 and 7,209.16

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Solution

The fourth proportional to 15,105.81, 22,659.17 and 7,209.16 is: 10,813.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.81 : 22,659.17 = 7,209.16 : x
  2. Step 2: Convert to fraction form
    15,105.81/22,659.17 = 7,209.16/x
  3. Step 3: Cross multiply
    15,105.81x = 22,659.17 × 7,209.16
  4. Step 4: Simplify right side
    15,105.81x = 163,353,691.71
  5. Step 5: Solve for x
    x = 163,353,691.71/15,105.81
  6. Step 6: Final answer
    x = 10,813.96

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1.5x scale

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.