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Finding the Fourth Proportional to 3,178.70, 4,769.08 and 987.86

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Solution

The fourth proportional to 3,178.70, 4,769.08 and 987.86 is: 1,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.70 : 4,769.08 = 987.86 : x
  2. Step 2: Convert to fraction form
    3,178.70/4,769.08 = 987.86/x
  3. Step 3: Cross multiply
    3,178.70x = 4,769.08 × 987.86
  4. Step 4: Simplify right side
    3,178.70x = 4,711,183.37
  5. Step 5: Solve for x
    x = 4,711,183.37/3,178.70
  6. Step 6: Final answer
    x = 1,482.11

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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.