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Finding the Fourth Proportional to 4,609, 6,913.50 and 3,249.64

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Solution

The fourth proportional to 4,609, 6,913.50 and 3,249.64 is: 4,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609 : 6,913.50 = 3,249.64 : x
  2. Step 2: Convert to fraction form
    4,609/6,913.50 = 3,249.64/x
  3. Step 3: Cross multiply
    4,609x = 6,913.50 × 3,249.64
  4. Step 4: Simplify right side
    4,609x = 22,466,386.14
  5. Step 5: Solve for x
    x = 22,466,386.14/4,609
  6. Step 6: Final answer
    x = 4,874.46

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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.