Home / 1,882.04-2,822.72-547.71

Finding the Fourth Proportional to 1,882.04, 2,822.72 and 547.71

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Solution

The fourth proportional to 1,882.04, 2,822.72 and 547.71 is: 821.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.04 : 2,822.72 = 547.71 : x
  2. Step 2: Convert to fraction form
    1,882.04/2,822.72 = 547.71/x
  3. Step 3: Cross multiply
    1,882.04x = 2,822.72 × 547.71
  4. Step 4: Simplify right side
    1,882.04x = 1,546,029.23
  5. Step 5: Solve for x
    x = 1,546,029.23/1,882.04
  6. Step 6: Final answer
    x = 821.47

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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.