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Finding the Fourth Proportional to 6,306.86, 8,703.15 and 3,655.13

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Solution

The fourth proportional to 6,306.86, 8,703.15 and 3,655.13 is: 5,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.86 : 8,703.15 = 3,655.13 : x
  2. Step 2: Convert to fraction form
    6,306.86/8,703.15 = 3,655.13/x
  3. Step 3: Cross multiply
    6,306.86x = 8,703.15 × 3,655.13
  4. Step 4: Simplify right side
    6,306.86x = 31,811,087.44
  5. Step 5: Solve for x
    x = 31,811,087.44/6,306.86
  6. Step 6: Final answer
    x = 5,043.88

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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.