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Finding the Fourth Proportional to 5,314.44, 7,971.97 and 1,616.80

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Solution

The fourth proportional to 5,314.44, 7,971.97 and 1,616.80 is: 2,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.44 : 7,971.97 = 1,616.80 : x
  2. Step 2: Convert to fraction form
    5,314.44/7,971.97 = 1,616.80/x
  3. Step 3: Cross multiply
    5,314.44x = 7,971.97 × 1,616.80
  4. Step 4: Simplify right side
    5,314.44x = 12,889,081.10
  5. Step 5: Solve for x
    x = 12,889,081.10/5,314.44
  6. Step 6: Final answer
    x = 2,425.29

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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.