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Finding the Fourth Proportional to 13,456.98, 18,570.33 and 7,791.97

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Solution

The fourth proportional to 13,456.98, 18,570.33 and 7,791.97 is: 10,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.98 : 18,570.33 = 7,791.97 : x
  2. Step 2: Convert to fraction form
    13,456.98/18,570.33 = 7,791.97/x
  3. Step 3: Cross multiply
    13,456.98x = 18,570.33 × 7,791.97
  4. Step 4: Simplify right side
    13,456.98x = 144,699,454.25
  5. Step 5: Solve for x
    x = 144,699,454.25/13,456.98
  6. Step 6: Final answer
    x = 10,752.74

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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.