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Finding the Fourth Proportional to 47,650, 65,757.31 and 26,429.32

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Solution

The fourth proportional to 47,650, 65,757.31 and 26,429.32 is: 36,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,650 : 65,757.31 = 26,429.32 : x
  2. Step 2: Convert to fraction form
    47,650/65,757.31 = 26,429.32/x
  3. Step 3: Cross multiply
    47,650x = 65,757.31 × 26,429.32
  4. Step 4: Simplify right side
    47,650x = 1,737,920,988.33
  5. Step 5: Solve for x
    x = 1,737,920,988.33/47,650
  6. Step 6: Final answer
    x = 36,472.63

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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.