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Finding the Fourth Proportional to 2,528.46, 3,793.01 and 989.26

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Solution

The fourth proportional to 2,528.46, 3,793.01 and 989.26 is: 1,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,528.46 : 3,793.01 = 989.26 : x
  2. Step 2: Convert to fraction form
    2,528.46/3,793.01 = 989.26/x
  3. Step 3: Cross multiply
    2,528.46x = 3,793.01 × 989.26
  4. Step 4: Simplify right side
    2,528.46x = 3,752,273.07
  5. Step 5: Solve for x
    x = 3,752,273.07/2,528.46
  6. Step 6: Final answer
    x = 1,484.02

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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.