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Finding the Fourth Proportional to 15,231.79, 22,847.78 and 9,971.22

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Solution

The fourth proportional to 15,231.79, 22,847.78 and 9,971.22 is: 14,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231.79 : 22,847.78 = 9,971.22 : x
  2. Step 2: Convert to fraction form
    15,231.79/22,847.78 = 9,971.22/x
  3. Step 3: Cross multiply
    15,231.79x = 22,847.78 × 9,971.22
  4. Step 4: Simplify right side
    15,231.79x = 227,820,265.82
  5. Step 5: Solve for x
    x = 227,820,265.82/15,231.79
  6. Step 6: Final answer
    x = 14,956.90

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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.