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Finding the Fourth Proportional to 7,874.20, 10,860.78 and 5,077

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Solution

The fourth proportional to 7,874.20, 10,860.78 and 5,077 is: 7,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.20 : 10,860.78 = 5,077 : x
  2. Step 2: Convert to fraction form
    7,874.20/10,860.78 = 5,077/x
  3. Step 3: Cross multiply
    7,874.20x = 10,860.78 × 5,077
  4. Step 4: Simplify right side
    7,874.20x = 55,140,180.06
  5. Step 5: Solve for x
    x = 55,140,180.06/7,874.20
  6. Step 6: Final answer
    x = 7,002.64

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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.