Home / 1,605.24-2,411.91-1,540.44

Finding the Fourth Proportional to 1,605.24, 2,411.91 and 1,540.44

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Solution

The fourth proportional to 1,605.24, 2,411.91 and 1,540.44 is: 2,314.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.24 : 2,411.91 = 1,540.44 : x
  2. Step 2: Convert to fraction form
    1,605.24/2,411.91 = 1,540.44/x
  3. Step 3: Cross multiply
    1,605.24x = 2,411.91 × 1,540.44
  4. Step 4: Simplify right side
    1,605.24x = 3,715,402.64
  5. Step 5: Solve for x
    x = 3,715,402.64/1,605.24
  6. Step 6: Final answer
    x = 2,314.55

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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.