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Finding the Fourth Proportional to 2,452, 3,678.08 and 1,084

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Solution

The fourth proportional to 2,452, 3,678.08 and 1,084 is: 1,626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452 : 3,678.08 = 1,084 : x
  2. Step 2: Convert to fraction form
    2,452/3,678.08 = 1,084/x
  3. Step 3: Cross multiply
    2,452x = 3,678.08 × 1,084
  4. Step 4: Simplify right side
    2,452x = 3,987,038.72
  5. Step 5: Solve for x
    x = 3,987,038.72/2,452
  6. Step 6: Final answer
    x = 1,626.04

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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.