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Finding the Fourth Proportional to 6,585.78, 9,869.10 and 3,076.86

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Solution

The fourth proportional to 6,585.78, 9,869.10 and 3,076.86 is: 4,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.78 : 9,869.10 = 3,076.86 : x
  2. Step 2: Convert to fraction form
    6,585.78/9,869.10 = 3,076.86/x
  3. Step 3: Cross multiply
    6,585.78x = 9,869.10 × 3,076.86
  4. Step 4: Simplify right side
    6,585.78x = 30,365,839.03
  5. Step 5: Solve for x
    x = 30,365,839.03/6,585.78
  6. Step 6: Final answer
    x = 4,610.82

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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.