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Finding the Fourth Proportional to 2,573.87, 3,865.98 and 1,535.90

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Solution

The fourth proportional to 2,573.87, 3,865.98 and 1,535.90 is: 2,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.87 : 3,865.98 = 1,535.90 : x
  2. Step 2: Convert to fraction form
    2,573.87/3,865.98 = 1,535.90/x
  3. Step 3: Cross multiply
    2,573.87x = 3,865.98 × 1,535.90
  4. Step 4: Simplify right side
    2,573.87x = 5,937,758.68
  5. Step 5: Solve for x
    x = 5,937,758.68/2,573.87
  6. Step 6: Final answer
    x = 2,306.94

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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.