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Finding the Fourth Proportional to 5,694.80, 8,549.40 and 3,064.40

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Solution

The fourth proportional to 5,694.80, 8,549.40 and 3,064.40 is: 4,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.80 : 8,549.40 = 3,064.40 : x
  2. Step 2: Convert to fraction form
    5,694.80/8,549.40 = 3,064.40/x
  3. Step 3: Cross multiply
    5,694.80x = 8,549.40 × 3,064.40
  4. Step 4: Simplify right side
    5,694.80x = 26,198,781.36
  5. Step 5: Solve for x
    x = 26,198,781.36/5,694.80
  6. Step 6: Final answer
    x = 4,600.47

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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.