Home / 2,292.87-3,438.63-976.61

Finding the Fourth Proportional to 2,292.87, 3,438.63 and 976.61

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Solution

The fourth proportional to 2,292.87, 3,438.63 and 976.61 is: 1,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.87 : 3,438.63 = 976.61 : x
  2. Step 2: Convert to fraction form
    2,292.87/3,438.63 = 976.61/x
  3. Step 3: Cross multiply
    2,292.87x = 3,438.63 × 976.61
  4. Step 4: Simplify right side
    2,292.87x = 3,358,179.59
  5. Step 5: Solve for x
    x = 3,358,179.59/2,292.87
  6. Step 6: Final answer
    x = 1,464.62

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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.