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Finding the Fourth Proportional to 3,180.42, 4,770 and 988.62

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Solution

The fourth proportional to 3,180.42, 4,770 and 988.62 is: 1,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.42 : 4,770 = 988.62 : x
  2. Step 2: Convert to fraction form
    3,180.42/4,770 = 988.62/x
  3. Step 3: Cross multiply
    3,180.42x = 4,770 × 988.62
  4. Step 4: Simplify right side
    3,180.42x = 4,715,717.40
  5. Step 5: Solve for x
    x = 4,715,717.40/3,180.42
  6. Step 6: Final answer
    x = 1,482.73

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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.