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Finding the Fourth Proportional to 6,506.28, 8,978.70 and 3,711.78

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Solution

The fourth proportional to 6,506.28, 8,978.70 and 3,711.78 is: 5,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.28 : 8,978.70 = 3,711.78 : x
  2. Step 2: Convert to fraction form
    6,506.28/8,978.70 = 3,711.78/x
  3. Step 3: Cross multiply
    6,506.28x = 8,978.70 × 3,711.78
  4. Step 4: Simplify right side
    6,506.28x = 33,326,959.09
  5. Step 5: Solve for x
    x = 33,326,959.09/6,506.28
  6. Step 6: Final answer
    x = 5,122.28

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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.