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Finding the Fourth Proportional to 6,306.81, 8,702.51 and 3,581.25

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Solution

The fourth proportional to 6,306.81, 8,702.51 and 3,581.25 is: 4,941.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.81 : 8,702.51 = 3,581.25 : x
  2. Step 2: Convert to fraction form
    6,306.81/8,702.51 = 3,581.25/x
  3. Step 3: Cross multiply
    6,306.81x = 8,702.51 × 3,581.25
  4. Step 4: Simplify right side
    6,306.81x = 31,165,846.03
  5. Step 5: Solve for x
    x = 31,165,846.03/6,306.81
  6. Step 6: Final answer
    x = 4,941.62

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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.