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Finding the Fourth Proportional to 2,612, 3,604.56 and 1,508.64

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Solution

The fourth proportional to 2,612, 3,604.56 and 1,508.64 is: 2,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612 : 3,604.56 = 1,508.64 : x
  2. Step 2: Convert to fraction form
    2,612/3,604.56 = 1,508.64/x
  3. Step 3: Cross multiply
    2,612x = 3,604.56 × 1,508.64
  4. Step 4: Simplify right side
    2,612x = 5,437,983.40
  5. Step 5: Solve for x
    x = 5,437,983.40/2,612
  6. Step 6: Final answer
    x = 2,081.92

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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.