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Finding the Fourth Proportional to 31,861.88, 47,780.90 and 9,365.76

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Solution

The fourth proportional to 31,861.88, 47,780.90 and 9,365.76 is: 14,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,861.88 : 47,780.90 = 9,365.76 : x
  2. Step 2: Convert to fraction form
    31,861.88/47,780.90 = 9,365.76/x
  3. Step 3: Cross multiply
    31,861.88x = 47,780.90 × 9,365.76
  4. Step 4: Simplify right side
    31,861.88x = 447,504,441.98
  5. Step 5: Solve for x
    x = 447,504,441.98/31,861.88
  6. Step 6: Final answer
    x = 14,045.14

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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.