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Finding the Fourth Proportional to 2,609.48, 3,919.08 and 2,505.08

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Solution

The fourth proportional to 2,609.48, 3,919.08 and 2,505.08 is: 3,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.48 : 3,919.08 = 2,505.08 : x
  2. Step 2: Convert to fraction form
    2,609.48/3,919.08 = 2,505.08/x
  3. Step 3: Cross multiply
    2,609.48x = 3,919.08 × 2,505.08
  4. Step 4: Simplify right side
    2,609.48x = 9,817,608.93
  5. Step 5: Solve for x
    x = 9,817,608.93/2,609.48
  6. Step 6: Final answer
    x = 3,762.29

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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.