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Finding the Fourth Proportional to 17,871.20, 26,806.80 and 13,732.10

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Solution

The fourth proportional to 17,871.20, 26,806.80 and 13,732.10 is: 20,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.20 : 26,806.80 = 13,732.10 : x
  2. Step 2: Convert to fraction form
    17,871.20/26,806.80 = 13,732.10/x
  3. Step 3: Cross multiply
    17,871.20x = 26,806.80 × 13,732.10
  4. Step 4: Simplify right side
    17,871.20x = 368,113,658.28
  5. Step 5: Solve for x
    x = 368,113,658.28/17,871.20
  6. Step 6: Final answer
    x = 20,598.15

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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.