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Finding the Fourth Proportional to 15,191.34, 22,787 and 7,791.68

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Solution

The fourth proportional to 15,191.34, 22,787 and 7,791.68 is: 11,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,191.34 : 22,787 = 7,791.68 : x
  2. Step 2: Convert to fraction form
    15,191.34/22,787 = 7,791.68/x
  3. Step 3: Cross multiply
    15,191.34x = 22,787 × 7,791.68
  4. Step 4: Simplify right side
    15,191.34x = 177,549,012.16
  5. Step 5: Solve for x
    x = 177,549,012.16/15,191.34
  6. Step 6: Final answer
    x = 11,687.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.