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Finding the Fourth Proportional to 2,609.69, 3,915.14 and 1,148.96

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Solution

The fourth proportional to 2,609.69, 3,915.14 and 1,148.96 is: 1,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.69 : 3,915.14 = 1,148.96 : x
  2. Step 2: Convert to fraction form
    2,609.69/3,915.14 = 1,148.96/x
  3. Step 3: Cross multiply
    2,609.69x = 3,915.14 × 1,148.96
  4. Step 4: Simplify right side
    2,609.69x = 4,498,313.93
  5. Step 5: Solve for x
    x = 4,498,313.93/2,609.69
  6. Step 6: Final answer
    x = 1,723.70

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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.