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Finding the Fourth Proportional to 31,811.80, 47,717.81 and 10,752.01

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Solution

The fourth proportional to 31,811.80, 47,717.81 and 10,752.01 is: 16,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,811.80 : 47,717.81 = 10,752.01 : x
  2. Step 2: Convert to fraction form
    31,811.80/47,717.81 = 10,752.01/x
  3. Step 3: Cross multiply
    31,811.80x = 47,717.81 × 10,752.01
  4. Step 4: Simplify right side
    31,811.80x = 513,062,370.30
  5. Step 5: Solve for x
    x = 513,062,370.30/31,811.80
  6. Step 6: Final answer
    x = 16,128.05

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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.