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Finding the Fourth Proportional to 31,660.83, 47,473.71 and 12,954

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Solution

The fourth proportional to 31,660.83, 47,473.71 and 12,954 is: 19,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.83 : 47,473.71 = 12,954 : x
  2. Step 2: Convert to fraction form
    31,660.83/47,473.71 = 12,954/x
  3. Step 3: Cross multiply
    31,660.83x = 47,473.71 × 12,954
  4. Step 4: Simplify right side
    31,660.83x = 614,974,439.34
  5. Step 5: Solve for x
    x = 614,974,439.34/31,660.83
  6. Step 6: Final answer
    x = 19,423.83

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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.