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Finding the Fourth Proportional to 5,741.76, 8,612.80 and 2,279.04

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Solution

The fourth proportional to 5,741.76, 8,612.80 and 2,279.04 is: 3,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.76 : 8,612.80 = 2,279.04 : x
  2. Step 2: Convert to fraction form
    5,741.76/8,612.80 = 2,279.04/x
  3. Step 3: Cross multiply
    5,741.76x = 8,612.80 × 2,279.04
  4. Step 4: Simplify right side
    5,741.76x = 19,628,915.71
  5. Step 5: Solve for x
    x = 19,628,915.71/5,741.76
  6. Step 6: Final answer
    x = 3,418.62

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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.