Home / 2,281.92-3,147.84-1,584.96

Finding the Fourth Proportional to 2,281.92, 3,147.84 and 1,584.96

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Solution

The fourth proportional to 2,281.92, 3,147.84 and 1,584.96 is: 2,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.92 : 3,147.84 = 1,584.96 : x
  2. Step 2: Convert to fraction form
    2,281.92/3,147.84 = 1,584.96/x
  3. Step 3: Cross multiply
    2,281.92x = 3,147.84 × 1,584.96
  4. Step 4: Simplify right side
    2,281.92x = 4,989,200.49
  5. Step 5: Solve for x
    x = 4,989,200.49/2,281.92
  6. Step 6: Final answer
    x = 2,186.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.