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Finding the Fourth Proportional to 2,152.32, 3,228.76 and 690.96

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Solution

The fourth proportional to 2,152.32, 3,228.76 and 690.96 is: 1,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.32 : 3,228.76 = 690.96 : x
  2. Step 2: Convert to fraction form
    2,152.32/3,228.76 = 690.96/x
  3. Step 3: Cross multiply
    2,152.32x = 3,228.76 × 690.96
  4. Step 4: Simplify right side
    2,152.32x = 2,230,944.01
  5. Step 5: Solve for x
    x = 2,230,944.01/2,152.32
  6. Step 6: Final answer
    x = 1,036.53

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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.