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Finding the Fourth Proportional to 31,891.04, 47,784.72 and 18,755.36

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Solution

The fourth proportional to 31,891.04, 47,784.72 and 18,755.36 is: 28,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.04 : 47,784.72 = 18,755.36 : x
  2. Step 2: Convert to fraction form
    31,891.04/47,784.72 = 18,755.36/x
  3. Step 3: Cross multiply
    31,891.04x = 47,784.72 × 18,755.36
  4. Step 4: Simplify right side
    31,891.04x = 896,219,626.10
  5. Step 5: Solve for x
    x = 896,219,626.10/31,891.04
  6. Step 6: Final answer
    x = 28,102.55

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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.