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Finding the Fourth Proportional to 6,566.78, 9,846.90 and 3,281.78

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Solution

The fourth proportional to 6,566.78, 9,846.90 and 3,281.78 is: 4,921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.78 : 9,846.90 = 3,281.78 : x
  2. Step 2: Convert to fraction form
    6,566.78/9,846.90 = 3,281.78/x
  3. Step 3: Cross multiply
    6,566.78x = 9,846.90 × 3,281.78
  4. Step 4: Simplify right side
    6,566.78x = 32,315,359.48
  5. Step 5: Solve for x
    x = 32,315,359.48/6,566.78
  6. Step 6: Final answer
    x = 4,921.04

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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.