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Finding the Fourth Proportional to 31,690.38, 43,733.07 and 17,543.46

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Solution

The fourth proportional to 31,690.38, 43,733.07 and 17,543.46 is: 24,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.38 : 43,733.07 = 17,543.46 : x
  2. Step 2: Convert to fraction form
    31,690.38/43,733.07 = 17,543.46/x
  3. Step 3: Cross multiply
    31,690.38x = 43,733.07 × 17,543.46
  4. Step 4: Simplify right side
    31,690.38x = 767,229,364.22
  5. Step 5: Solve for x
    x = 767,229,364.22/31,690.38
  6. Step 6: Final answer
    x = 24,210.17

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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.