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Finding the Fourth Proportional to 2,631.76, 3,949.68 and 989.80

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Solution

The fourth proportional to 2,631.76, 3,949.68 and 989.80 is: 1,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.76 : 3,949.68 = 989.80 : x
  2. Step 2: Convert to fraction form
    2,631.76/3,949.68 = 989.80/x
  3. Step 3: Cross multiply
    2,631.76x = 3,949.68 × 989.80
  4. Step 4: Simplify right side
    2,631.76x = 3,909,393.26
  5. Step 5: Solve for x
    x = 3,909,393.26/2,631.76
  6. Step 6: Final answer
    x = 1,485.47

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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.