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Finding the Fourth Proportional to 31,974.63, 47,954.70 and 9,480.66

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Solution

The fourth proportional to 31,974.63, 47,954.70 and 9,480.66 is: 14,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.63 : 47,954.70 = 9,480.66 : x
  2. Step 2: Convert to fraction form
    31,974.63/47,954.70 = 9,480.66/x
  3. Step 3: Cross multiply
    31,974.63x = 47,954.70 × 9,480.66
  4. Step 4: Simplify right side
    31,974.63x = 454,642,206.10
  5. Step 5: Solve for x
    x = 454,642,206.10/31,974.63
  6. Step 6: Final answer
    x = 14,218.84

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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.