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Finding the Fourth Proportional to 13,750.31, 18,975.71 and 7,781.97

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Solution

The fourth proportional to 13,750.31, 18,975.71 and 7,781.97 is: 10,739.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,750.31 : 18,975.71 = 7,781.97 : x
  2. Step 2: Convert to fraction form
    13,750.31/18,975.71 = 7,781.97/x
  3. Step 3: Cross multiply
    13,750.31x = 18,975.71 × 7,781.97
  4. Step 4: Simplify right side
    13,750.31x = 147,668,405.95
  5. Step 5: Solve for x
    x = 147,668,405.95/13,750.31
  6. Step 6: Final answer
    x = 10,739.28

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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.