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Finding the Fourth Proportional to 31,604.57, 47,406.84 and 8,231.01

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Solution

The fourth proportional to 31,604.57, 47,406.84 and 8,231.01 is: 12,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.57 : 47,406.84 = 8,231.01 : x
  2. Step 2: Convert to fraction form
    31,604.57/47,406.84 = 8,231.01/x
  3. Step 3: Cross multiply
    31,604.57x = 47,406.84 × 8,231.01
  4. Step 4: Simplify right side
    31,604.57x = 390,205,937.07
  5. Step 5: Solve for x
    x = 390,205,937.07/31,604.57
  6. Step 6: Final answer
    x = 12,346.50

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Half scale
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Similar ratio
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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.