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Finding the Fourth Proportional to 5,170.16, 7,755 and 2,570.96

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Solution

The fourth proportional to 5,170.16, 7,755 and 2,570.96 is: 3,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.16 : 7,755 = 2,570.96 : x
  2. Step 2: Convert to fraction form
    5,170.16/7,755 = 2,570.96/x
  3. Step 3: Cross multiply
    5,170.16x = 7,755 × 2,570.96
  4. Step 4: Simplify right side
    5,170.16x = 19,937,794.80
  5. Step 5: Solve for x
    x = 19,937,794.80/5,170.16
  6. Step 6: Final answer
    x = 3,856.32

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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.