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Finding the Fourth Proportional to 8,507.14, 12,757.56 and 2,959

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Solution

The fourth proportional to 8,507.14, 12,757.56 and 2,959 is: 4,437.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.14 : 12,757.56 = 2,959 : x
  2. Step 2: Convert to fraction form
    8,507.14/12,757.56 = 2,959/x
  3. Step 3: Cross multiply
    8,507.14x = 12,757.56 × 2,959
  4. Step 4: Simplify right side
    8,507.14x = 37,749,620.04
  5. Step 5: Solve for x
    x = 37,749,620.04/8,507.14
  6. Step 6: Final answer
    x = 4,437.40

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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.