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Finding the Fourth Proportional to 6,505.72, 8,976.30 and 3,853

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Solution

The fourth proportional to 6,505.72, 8,976.30 and 3,853 is: 5,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.72 : 8,976.30 = 3,853 : x
  2. Step 2: Convert to fraction form
    6,505.72/8,976.30 = 3,853/x
  3. Step 3: Cross multiply
    6,505.72x = 8,976.30 × 3,853
  4. Step 4: Simplify right side
    6,505.72x = 34,585,683.90
  5. Step 5: Solve for x
    x = 34,585,683.90/6,505.72
  6. Step 6: Final answer
    x = 5,316.20

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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.