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Finding the Fourth Proportional to 31,703.78, 47,563.57 and 9,517.57

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Solution

The fourth proportional to 31,703.78, 47,563.57 and 9,517.57 is: 14,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,703.78 : 47,563.57 = 9,517.57 : x
  2. Step 2: Convert to fraction form
    31,703.78/47,563.57 = 9,517.57/x
  3. Step 3: Cross multiply
    31,703.78x = 47,563.57 × 9,517.57
  4. Step 4: Simplify right side
    31,703.78x = 452,689,499.91
  5. Step 5: Solve for x
    x = 452,689,499.91/31,703.78
  6. Step 6: Final answer
    x = 14,278.72

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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.