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Finding the Fourth Proportional to 2,618.52, 3,920.10 and 1,585.56

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Solution

The fourth proportional to 2,618.52, 3,920.10 and 1,585.56 is: 2,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.52 : 3,920.10 = 1,585.56 : x
  2. Step 2: Convert to fraction form
    2,618.52/3,920.10 = 1,585.56/x
  3. Step 3: Cross multiply
    2,618.52x = 3,920.10 × 1,585.56
  4. Step 4: Simplify right side
    2,618.52x = 6,215,553.76
  5. Step 5: Solve for x
    x = 6,215,553.76/2,618.52
  6. Step 6: Final answer
    x = 2,373.69

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1.5x scale

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.