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Finding the Fourth Proportional to 8,242.42, 12,364.39 and 2,695.80

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Solution

The fourth proportional to 8,242.42, 12,364.39 and 2,695.80 is: 4,043.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.42 : 12,364.39 = 2,695.80 : x
  2. Step 2: Convert to fraction form
    8,242.42/12,364.39 = 2,695.80/x
  3. Step 3: Cross multiply
    8,242.42x = 12,364.39 × 2,695.80
  4. Step 4: Simplify right side
    8,242.42x = 33,331,860.74
  5. Step 5: Solve for x
    x = 33,331,860.74/8,242.42
  6. Step 6: Final answer
    x = 4,043.94

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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.