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Finding the Fourth Proportional to 2,609.76, 3,916.02 and 1,149.93

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Solution

The fourth proportional to 2,609.76, 3,916.02 and 1,149.93 is: 1,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.76 : 3,916.02 = 1,149.93 : x
  2. Step 2: Convert to fraction form
    2,609.76/3,916.02 = 1,149.93/x
  3. Step 3: Cross multiply
    2,609.76x = 3,916.02 × 1,149.93
  4. Step 4: Simplify right side
    2,609.76x = 4,503,148.88
  5. Step 5: Solve for x
    x = 4,503,148.88/2,609.76
  6. Step 6: Final answer
    x = 1,725.50

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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.