Home / 2,281.92-3,421.32-1,047.64

Finding the Fourth Proportional to 2,281.92, 3,421.32 and 1,047.64

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Solution

The fourth proportional to 2,281.92, 3,421.32 and 1,047.64 is: 1,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.92 : 3,421.32 = 1,047.64 : x
  2. Step 2: Convert to fraction form
    2,281.92/3,421.32 = 1,047.64/x
  3. Step 3: Cross multiply
    2,281.92x = 3,421.32 × 1,047.64
  4. Step 4: Simplify right side
    2,281.92x = 3,584,311.68
  5. Step 5: Solve for x
    x = 3,584,311.68/2,281.92
  6. Step 6: Final answer
    x = 1,570.74

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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.