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Finding the Fourth Proportional to 6,505.98, 8,976.99 and 3,853.90

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Solution

The fourth proportional to 6,505.98, 8,976.99 and 3,853.90 is: 5,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.98 : 8,976.99 = 3,853.90 : x
  2. Step 2: Convert to fraction form
    6,505.98/8,976.99 = 3,853.90/x
  3. Step 3: Cross multiply
    6,505.98x = 8,976.99 × 3,853.90
  4. Step 4: Simplify right side
    6,505.98x = 34,596,421.76
  5. Step 5: Solve for x
    x = 34,596,421.76/6,505.98
  6. Step 6: Final answer
    x = 5,317.63

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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.