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Finding the Fourth Proportional to 4,780.86, 7,171.28 and 1,493.96

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Solution

The fourth proportional to 4,780.86, 7,171.28 and 1,493.96 is: 2,240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.86 : 7,171.28 = 1,493.96 : x
  2. Step 2: Convert to fraction form
    4,780.86/7,171.28 = 1,493.96/x
  3. Step 3: Cross multiply
    4,780.86x = 7,171.28 × 1,493.96
  4. Step 4: Simplify right side
    4,780.86x = 10,713,616.49
  5. Step 5: Solve for x
    x = 10,713,616.49/4,780.86
  6. Step 6: Final answer
    x = 2,240.94

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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.