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Finding the Fourth Proportional to 8,938.29, 13,393.76 and 4,778.89

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Solution

The fourth proportional to 8,938.29, 13,393.76 and 4,778.89 is: 7,161.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.29 : 13,393.76 = 4,778.89 : x
  2. Step 2: Convert to fraction form
    8,938.29/13,393.76 = 4,778.89/x
  3. Step 3: Cross multiply
    8,938.29x = 13,393.76 × 4,778.89
  4. Step 4: Simplify right side
    8,938.29x = 64,007,305.73
  5. Step 5: Solve for x
    x = 64,007,305.73/8,938.29
  6. Step 6: Final answer
    x = 7,161.02

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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.