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Finding the Fourth Proportional to 9,115, 13,672.68 and 2,959

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Solution

The fourth proportional to 9,115, 13,672.68 and 2,959 is: 4,438.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115 : 13,672.68 = 2,959 : x
  2. Step 2: Convert to fraction form
    9,115/13,672.68 = 2,959/x
  3. Step 3: Cross multiply
    9,115x = 13,672.68 × 2,959
  4. Step 4: Simplify right side
    9,115x = 40,457,460.12
  5. Step 5: Solve for x
    x = 40,457,460.12/9,115
  6. Step 6: Final answer
    x = 4,438.56

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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.