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Finding the Fourth Proportional to 5,641.92, 8,454.16 and 2,521.44

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Solution

The fourth proportional to 5,641.92, 8,454.16 and 2,521.44 is: 3,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.92 : 8,454.16 = 2,521.44 : x
  2. Step 2: Convert to fraction form
    5,641.92/8,454.16 = 2,521.44/x
  3. Step 3: Cross multiply
    5,641.92x = 8,454.16 × 2,521.44
  4. Step 4: Simplify right side
    5,641.92x = 21,316,657.19
  5. Step 5: Solve for x
    x = 21,316,657.19/5,641.92
  6. Step 6: Final answer
    x = 3,778.26

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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.