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Finding the Fourth Proportional to 20,951.76, 31,437.87 and 9,859.56

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Solution

The fourth proportional to 20,951.76, 31,437.87 and 9,859.56 is: 14,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951.76 : 31,437.87 = 9,859.56 : x
  2. Step 2: Convert to fraction form
    20,951.76/31,437.87 = 9,859.56/x
  3. Step 3: Cross multiply
    20,951.76x = 31,437.87 × 9,859.56
  4. Step 4: Simplify right side
    20,951.76x = 309,963,565.54
  5. Step 5: Solve for x
    x = 309,963,565.54/20,951.76
  6. Step 6: Final answer
    x = 14,794.15

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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.