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Finding the Fourth Proportional to 2,605.15, 3,907.50 and 1,023.90

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Solution

The fourth proportional to 2,605.15, 3,907.50 and 1,023.90 is: 1,535.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.15 : 3,907.50 = 1,023.90 : x
  2. Step 2: Convert to fraction form
    2,605.15/3,907.50 = 1,023.90/x
  3. Step 3: Cross multiply
    2,605.15x = 3,907.50 × 1,023.90
  4. Step 4: Simplify right side
    2,605.15x = 4,000,876.92
  5. Step 5: Solve for x
    x = 4,000,876.92/2,605.15
  6. Step 6: Final answer
    x = 1,535.76

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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.