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Finding the Fourth Proportional to 31,623.48, 47,437.74 and 8,250.12

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Solution

The fourth proportional to 31,623.48, 47,437.74 and 8,250.12 is: 12,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,623.48 : 47,437.74 = 8,250.12 : x
  2. Step 2: Convert to fraction form
    31,623.48/47,437.74 = 8,250.12/x
  3. Step 3: Cross multiply
    31,623.48x = 47,437.74 × 8,250.12
  4. Step 4: Simplify right side
    31,623.48x = 391,367,047.53
  5. Step 5: Solve for x
    x = 391,367,047.53/31,623.48
  6. Step 6: Final answer
    x = 12,375.84

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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.