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Finding the Fourth Proportional to 8,203.95, 12,306.78 and 2,657.07

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Solution

The fourth proportional to 8,203.95, 12,306.78 and 2,657.07 is: 3,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.95 : 12,306.78 = 2,657.07 : x
  2. Step 2: Convert to fraction form
    8,203.95/12,306.78 = 2,657.07/x
  3. Step 3: Cross multiply
    8,203.95x = 12,306.78 × 2,657.07
  4. Step 4: Simplify right side
    8,203.95x = 32,699,975.93
  5. Step 5: Solve for x
    x = 32,699,975.93/8,203.95
  6. Step 6: Final answer
    x = 3,985.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.