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Finding the Fourth Proportional to 8,934.50, 13,402.48 and 2,778.50

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Solution

The fourth proportional to 8,934.50, 13,402.48 and 2,778.50 is: 4,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.50 : 13,402.48 = 2,778.50 : x
  2. Step 2: Convert to fraction form
    8,934.50/13,402.48 = 2,778.50/x
  3. Step 3: Cross multiply
    8,934.50x = 13,402.48 × 2,778.50
  4. Step 4: Simplify right side
    8,934.50x = 37,238,790.68
  5. Step 5: Solve for x
    x = 37,238,790.68/8,934.50
  6. Step 6: Final answer
    x = 4,167.98

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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.