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Finding the Fourth Proportional to 2,605.16, 3,908.10 and 874.28

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Solution

The fourth proportional to 2,605.16, 3,908.10 and 874.28 is: 1,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.16 : 3,908.10 = 874.28 : x
  2. Step 2: Convert to fraction form
    2,605.16/3,908.10 = 874.28/x
  3. Step 3: Cross multiply
    2,605.16x = 3,908.10 × 874.28
  4. Step 4: Simplify right side
    2,605.16x = 3,416,773.67
  5. Step 5: Solve for x
    x = 3,416,773.67/2,605.16
  6. Step 6: Final answer
    x = 1,311.54

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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.