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Finding the Fourth Proportional to 31,340.80, 47,011.20 and 12,872.80

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Solution

The fourth proportional to 31,340.80, 47,011.20 and 12,872.80 is: 19,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,340.80 : 47,011.20 = 12,872.80 : x
  2. Step 2: Convert to fraction form
    31,340.80/47,011.20 = 12,872.80/x
  3. Step 3: Cross multiply
    31,340.80x = 47,011.20 × 12,872.80
  4. Step 4: Simplify right side
    31,340.80x = 605,165,775.36
  5. Step 5: Solve for x
    x = 605,165,775.36/31,340.80
  6. Step 6: Final answer
    x = 19,309.20

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1.5x scale

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.