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Finding the Fourth Proportional to 3,180.22, 4,770.14 and 988.63

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Solution

The fourth proportional to 3,180.22, 4,770.14 and 988.63 is: 1,482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.22 : 4,770.14 = 988.63 : x
  2. Step 2: Convert to fraction form
    3,180.22/4,770.14 = 988.63/x
  3. Step 3: Cross multiply
    3,180.22x = 4,770.14 × 988.63
  4. Step 4: Simplify right side
    3,180.22x = 4,715,898.57
  5. Step 5: Solve for x
    x = 4,715,898.57/3,180.22
  6. Step 6: Final answer
    x = 1,482.88

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1.5x scale

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.