Home / 1,721.46-2,582.16-1,200

Finding the Fourth Proportional to 1,721.46, 2,582.16 and 1,200

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Solution

The fourth proportional to 1,721.46, 2,582.16 and 1,200 is: 1,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.46 : 2,582.16 = 1,200 : x
  2. Step 2: Convert to fraction form
    1,721.46/2,582.16 = 1,200/x
  3. Step 3: Cross multiply
    1,721.46x = 2,582.16 × 1,200
  4. Step 4: Simplify right side
    1,721.46x = 3,098,592
  5. Step 5: Solve for x
    x = 3,098,592/1,721.46
  6. Step 6: Final answer
    x = 1,799.98

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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.