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Finding the Fourth Proportional to 31,894.32, 47,851.73 and 9,711.99

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Solution

The fourth proportional to 31,894.32, 47,851.73 and 9,711.99 is: 14,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.32 : 47,851.73 = 9,711.99 : x
  2. Step 2: Convert to fraction form
    31,894.32/47,851.73 = 9,711.99/x
  3. Step 3: Cross multiply
    31,894.32x = 47,851.73 × 9,711.99
  4. Step 4: Simplify right side
    31,894.32x = 464,735,474.68
  5. Step 5: Solve for x
    x = 464,735,474.68/31,894.32
  6. Step 6: Final answer
    x = 14,571.10

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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.