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Finding the Fourth Proportional to 31,868.39, 47,808.09 and 9,684.02

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Solution

The fourth proportional to 31,868.39, 47,808.09 and 9,684.02 is: 14,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,868.39 : 47,808.09 = 9,684.02 : x
  2. Step 2: Convert to fraction form
    31,868.39/47,808.09 = 9,684.02/x
  3. Step 3: Cross multiply
    31,868.39x = 47,808.09 × 9,684.02
  4. Step 4: Simplify right side
    31,868.39x = 462,974,260.68
  5. Step 5: Solve for x
    x = 462,974,260.68/31,868.39
  6. Step 6: Final answer
    x = 14,527.70

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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.