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Finding the Fourth Proportional to 31,478.70, 47,208.03 and 10,414.80

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Solution

The fourth proportional to 31,478.70, 47,208.03 and 10,414.80 is: 15,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.70 : 47,208.03 = 10,414.80 : x
  2. Step 2: Convert to fraction form
    31,478.70/47,208.03 = 10,414.80/x
  3. Step 3: Cross multiply
    31,478.70x = 47,208.03 × 10,414.80
  4. Step 4: Simplify right side
    31,478.70x = 491,662,190.84
  5. Step 5: Solve for x
    x = 491,662,190.84/31,478.70
  6. Step 6: Final answer
    x = 15,618.88

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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.