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Finding the Fourth Proportional to 31,656, 43,655.52 and 22,747.68

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Solution

The fourth proportional to 31,656, 43,655.52 and 22,747.68 is: 31,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656 : 43,655.52 = 22,747.68 : x
  2. Step 2: Convert to fraction form
    31,656/43,655.52 = 22,747.68/x
  3. Step 3: Cross multiply
    31,656x = 43,655.52 × 22,747.68
  4. Step 4: Simplify right side
    31,656x = 993,061,799.19
  5. Step 5: Solve for x
    x = 993,061,799.19/31,656
  6. Step 6: Final answer
    x = 31,370.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.