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Finding the Fourth Proportional to 31,478.76, 47,222.46 and 9,293.76

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Solution

The fourth proportional to 31,478.76, 47,222.46 and 9,293.76 is: 13,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.76 : 47,222.46 = 9,293.76 : x
  2. Step 2: Convert to fraction form
    31,478.76/47,222.46 = 9,293.76/x
  3. Step 3: Cross multiply
    31,478.76x = 47,222.46 × 9,293.76
  4. Step 4: Simplify right side
    31,478.76x = 438,874,209.85
  5. Step 5: Solve for x
    x = 438,874,209.85/31,478.76
  6. Step 6: Final answer
    x = 13,941.92

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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.