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Finding the Fourth Proportional to 31,871.80, 47,807.70 and 26,234.20

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Solution

The fourth proportional to 31,871.80, 47,807.70 and 26,234.20 is: 39,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.80 : 47,807.70 = 26,234.20 : x
  2. Step 2: Convert to fraction form
    31,871.80/47,807.70 = 26,234.20/x
  3. Step 3: Cross multiply
    31,871.80x = 47,807.70 × 26,234.20
  4. Step 4: Simplify right side
    31,871.80x = 1,254,196,763.34
  5. Step 5: Solve for x
    x = 1,254,196,763.34/31,871.80
  6. Step 6: Final answer
    x = 39,351.30

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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.