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Finding the Fourth Proportional to 10,159, 15,201.58 and 8,387.56

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Solution

The fourth proportional to 10,159, 15,201.58 and 8,387.56 is: 12,550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159 : 15,201.58 = 8,387.56 : x
  2. Step 2: Convert to fraction form
    10,159/15,201.58 = 8,387.56/x
  3. Step 3: Cross multiply
    10,159x = 15,201.58 × 8,387.56
  4. Step 4: Simplify right side
    10,159x = 127,504,164.34
  5. Step 5: Solve for x
    x = 127,504,164.34/10,159
  6. Step 6: Final answer
    x = 12,550.86

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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.