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Finding the Fourth Proportional to 5,117.56, 7,060.98 and 2,879

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Solution

The fourth proportional to 5,117.56, 7,060.98 and 2,879 is: 3,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.56 : 7,060.98 = 2,879 : x
  2. Step 2: Convert to fraction form
    5,117.56/7,060.98 = 2,879/x
  3. Step 3: Cross multiply
    5,117.56x = 7,060.98 × 2,879
  4. Step 4: Simplify right side
    5,117.56x = 20,328,561.42
  5. Step 5: Solve for x
    x = 20,328,561.42/5,117.56
  6. Step 6: Final answer
    x = 3,972.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.