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Finding the Fourth Proportional to 5,690.76, 8,540.91 and 2,920.10

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Solution

The fourth proportional to 5,690.76, 8,540.91 and 2,920.10 is: 4,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.76 : 8,540.91 = 2,920.10 : x
  2. Step 2: Convert to fraction form
    5,690.76/8,540.91 = 2,920.10/x
  3. Step 3: Cross multiply
    5,690.76x = 8,540.91 × 2,920.10
  4. Step 4: Simplify right side
    5,690.76x = 24,940,268.59
  5. Step 5: Solve for x
    x = 24,940,268.59/5,690.76
  6. Step 6: Final answer
    x = 4,382.59

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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.