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Finding the Fourth Proportional to 31,818, 47,727.11 and 10,758.21

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Solution

The fourth proportional to 31,818, 47,727.11 and 10,758.21 is: 16,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818 : 47,727.11 = 10,758.21 : x
  2. Step 2: Convert to fraction form
    31,818/47,727.11 = 10,758.21/x
  3. Step 3: Cross multiply
    31,818x = 47,727.11 × 10,758.21
  4. Step 4: Simplify right side
    31,818x = 513,458,218.28
  5. Step 5: Solve for x
    x = 513,458,218.28/31,818
  6. Step 6: Final answer
    x = 16,137.35

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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.