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Finding the Fourth Proportional to 31,807.40, 43,894.26 and 17,659.88

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Solution

The fourth proportional to 31,807.40, 43,894.26 and 17,659.88 is: 24,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.40 : 43,894.26 = 17,659.88 : x
  2. Step 2: Convert to fraction form
    31,807.40/43,894.26 = 17,659.88/x
  3. Step 3: Cross multiply
    31,807.40x = 43,894.26 × 17,659.88
  4. Step 4: Simplify right side
    31,807.40x = 775,167,364.29
  5. Step 5: Solve for x
    x = 775,167,364.29/31,807.40
  6. Step 6: Final answer
    x = 24,370.66

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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.