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Finding the Fourth Proportional to 31,446, 43,394.61 and 17,298.84

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Solution

The fourth proportional to 31,446, 43,394.61 and 17,298.84 is: 23,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446 : 43,394.61 = 17,298.84 : x
  2. Step 2: Convert to fraction form
    31,446/43,394.61 = 17,298.84/x
  3. Step 3: Cross multiply
    31,446x = 43,394.61 × 17,298.84
  4. Step 4: Simplify right side
    31,446x = 750,676,415.25
  5. Step 5: Solve for x
    x = 750,676,415.25/31,446
  6. Step 6: Final answer
    x = 23,871.92

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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.