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Finding the Fourth Proportional to 6,505.86, 8,978.12 and 3,673.35

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Solution

The fourth proportional to 6,505.86, 8,978.12 and 3,673.35 is: 5,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.86 : 8,978.12 = 3,673.35 : x
  2. Step 2: Convert to fraction form
    6,505.86/8,978.12 = 3,673.35/x
  3. Step 3: Cross multiply
    6,505.86x = 8,978.12 × 3,673.35
  4. Step 4: Simplify right side
    6,505.86x = 32,979,758.74
  5. Step 5: Solve for x
    x = 32,979,758.74/6,505.86
  6. Step 6: Final answer
    x = 5,069.24

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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.