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Finding the Fourth Proportional to 31,805.78, 43,890.26 and 17,657.71

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Solution

The fourth proportional to 31,805.78, 43,890.26 and 17,657.71 is: 24,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.78 : 43,890.26 = 17,657.71 : x
  2. Step 2: Convert to fraction form
    31,805.78/43,890.26 = 17,657.71/x
  3. Step 3: Cross multiply
    31,805.78x = 43,890.26 × 17,657.71
  4. Step 4: Simplify right side
    31,805.78x = 775,001,284.89
  5. Step 5: Solve for x
    x = 775,001,284.89/31,805.78
  6. Step 6: Final answer
    x = 24,366.68

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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.