Home / 1,821.24-2,731.90-522.76

Finding the Fourth Proportional to 1,821.24, 2,731.90 and 522.76

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Solution

The fourth proportional to 1,821.24, 2,731.90 and 522.76 is: 784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.24 : 2,731.90 = 522.76 : x
  2. Step 2: Convert to fraction form
    1,821.24/2,731.90 = 522.76/x
  3. Step 3: Cross multiply
    1,821.24x = 2,731.90 × 522.76
  4. Step 4: Simplify right side
    1,821.24x = 1,428,128.04
  5. Step 5: Solve for x
    x = 1,428,128.04/1,821.24
  6. Step 6: Final answer
    x = 784.15

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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.