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Finding the Fourth Proportional to 2,052.20, 3,077.88 and 665.19

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Solution

The fourth proportional to 2,052.20, 3,077.88 and 665.19 is: 997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.20 : 3,077.88 = 665.19 : x
  2. Step 2: Convert to fraction form
    2,052.20/3,077.88 = 665.19/x
  3. Step 3: Cross multiply
    2,052.20x = 3,077.88 × 665.19
  4. Step 4: Simplify right side
    2,052.20x = 2,047,372.50
  5. Step 5: Solve for x
    x = 2,047,372.50/2,052.20
  6. Step 6: Final answer
    x = 997.65

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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.