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Finding the Fourth Proportional to 31,977.30, 47,957.76 and 9,482.71

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Solution

The fourth proportional to 31,977.30, 47,957.76 and 9,482.71 is: 14,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,977.30 : 47,957.76 = 9,482.71 : x
  2. Step 2: Convert to fraction form
    31,977.30/47,957.76 = 9,482.71/x
  3. Step 3: Cross multiply
    31,977.30x = 47,957.76 × 9,482.71
  4. Step 4: Simplify right side
    31,977.30x = 454,769,530.33
  5. Step 5: Solve for x
    x = 454,769,530.33/31,977.30
  6. Step 6: Final answer
    x = 14,221.64

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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.