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Finding the Fourth Proportional to 11,425.14, 15,744.22 and 8,739.40

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Solution

The fourth proportional to 11,425.14, 15,744.22 and 8,739.40 is: 12,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.14 : 15,744.22 = 8,739.40 : x
  2. Step 2: Convert to fraction form
    11,425.14/15,744.22 = 8,739.40/x
  3. Step 3: Cross multiply
    11,425.14x = 15,744.22 × 8,739.40
  4. Step 4: Simplify right side
    11,425.14x = 137,595,036.27
  5. Step 5: Solve for x
    x = 137,595,036.27/11,425.14
  6. Step 6: Final answer
    x = 12,043.18

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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.