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Finding the Fourth Proportional to 6,505.71, 8,978 and 3,673.65

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Solution

The fourth proportional to 6,505.71, 8,978 and 3,673.65 is: 5,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.71 : 8,978 = 3,673.65 : x
  2. Step 2: Convert to fraction form
    6,505.71/8,978 = 3,673.65/x
  3. Step 3: Cross multiply
    6,505.71x = 8,978 × 3,673.65
  4. Step 4: Simplify right side
    6,505.71x = 32,982,029.70
  5. Step 5: Solve for x
    x = 32,982,029.70/6,505.71
  6. Step 6: Final answer
    x = 5,069.70

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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.