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Finding the Fourth Proportional to 22,652.65, 31,260.87 and 13,219.39

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Solution

The fourth proportional to 22,652.65, 31,260.87 and 13,219.39 is: 18,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.65 : 31,260.87 = 13,219.39 : x
  2. Step 2: Convert to fraction form
    22,652.65/31,260.87 = 13,219.39/x
  3. Step 3: Cross multiply
    22,652.65x = 31,260.87 × 13,219.39
  4. Step 4: Simplify right side
    22,652.65x = 413,249,632.27
  5. Step 5: Solve for x
    x = 413,249,632.27/22,652.65
  6. Step 6: Final answer
    x = 18,242.88

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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.