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Finding the Fourth Proportional to 22,812.87, 31,481.12 and 12,741.02

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Solution

The fourth proportional to 22,812.87, 31,481.12 and 12,741.02 is: 17,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.87 : 31,481.12 = 12,741.02 : x
  2. Step 2: Convert to fraction form
    22,812.87/31,481.12 = 12,741.02/x
  3. Step 3: Cross multiply
    22,812.87x = 31,481.12 × 12,741.02
  4. Step 4: Simplify right side
    22,812.87x = 401,101,422.14
  5. Step 5: Solve for x
    x = 401,101,422.14/22,812.87
  6. Step 6: Final answer
    x = 17,582.24

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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.