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Finding the Fourth Proportional to 3,624, 5,002.56 and 2,385.60

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Solution

The fourth proportional to 3,624, 5,002.56 and 2,385.60 is: 3,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624 : 5,002.56 = 2,385.60 : x
  2. Step 2: Convert to fraction form
    3,624/5,002.56 = 2,385.60/x
  3. Step 3: Cross multiply
    3,624x = 5,002.56 × 2,385.60
  4. Step 4: Simplify right side
    3,624x = 11,934,107.14
  5. Step 5: Solve for x
    x = 11,934,107.14/3,624
  6. Step 6: Final answer
    x = 3,293.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.