Home / 2,124.31-3,184.30-892.57

Finding the Fourth Proportional to 2,124.31, 3,184.30 and 892.57

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Solution

The fourth proportional to 2,124.31, 3,184.30 and 892.57 is: 1,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.31 : 3,184.30 = 892.57 : x
  2. Step 2: Convert to fraction form
    2,124.31/3,184.30 = 892.57/x
  3. Step 3: Cross multiply
    2,124.31x = 3,184.30 × 892.57
  4. Step 4: Simplify right side
    2,124.31x = 2,842,210.65
  5. Step 5: Solve for x
    x = 2,842,210.65/2,124.31
  6. Step 6: Final answer
    x = 1,337.95

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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.