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Finding the Fourth Proportional to 26,871.20, 40,306.80 and 18,576.80

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Solution

The fourth proportional to 26,871.20, 40,306.80 and 18,576.80 is: 27,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,871.20 : 40,306.80 = 18,576.80 : x
  2. Step 2: Convert to fraction form
    26,871.20/40,306.80 = 18,576.80/x
  3. Step 3: Cross multiply
    26,871.20x = 40,306.80 × 18,576.80
  4. Step 4: Simplify right side
    26,871.20x = 748,771,362.24
  5. Step 5: Solve for x
    x = 748,771,362.24/26,871.20
  6. Step 6: Final answer
    x = 27,865.20

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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.