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Finding the Fourth Proportional to 13,758, 18,986.45 and 7,470.78

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Solution

The fourth proportional to 13,758, 18,986.45 and 7,470.78 is: 10,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758 : 18,986.45 = 7,470.78 : x
  2. Step 2: Convert to fraction form
    13,758/18,986.45 = 7,470.78/x
  3. Step 3: Cross multiply
    13,758x = 18,986.45 × 7,470.78
  4. Step 4: Simplify right side
    13,758x = 141,843,553.58
  5. Step 5: Solve for x
    x = 141,843,553.58/13,758
  6. Step 6: Final answer
    x = 10,309.90

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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.