Home / 1,821.41-2,731.79-522.57

Finding the Fourth Proportional to 1,821.41, 2,731.79 and 522.57

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Solution

The fourth proportional to 1,821.41, 2,731.79 and 522.57 is: 783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.41 : 2,731.79 = 522.57 : x
  2. Step 2: Convert to fraction form
    1,821.41/2,731.79 = 522.57/x
  3. Step 3: Cross multiply
    1,821.41x = 2,731.79 × 522.57
  4. Step 4: Simplify right side
    1,821.41x = 1,427,548.89
  5. Step 5: Solve for x
    x = 1,427,548.89/1,821.41
  6. Step 6: Final answer
    x = 783.76

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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.