Home / 1,820.91-2,731.78-522.28

Finding the Fourth Proportional to 1,820.91, 2,731.78 and 522.28

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Solution

The fourth proportional to 1,820.91, 2,731.78 and 522.28 is: 783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.91 : 2,731.78 = 522.28 : x
  2. Step 2: Convert to fraction form
    1,820.91/2,731.78 = 522.28/x
  3. Step 3: Cross multiply
    1,820.91x = 2,731.78 × 522.28
  4. Step 4: Simplify right side
    1,820.91x = 1,426,755.19
  5. Step 5: Solve for x
    x = 1,426,755.19/1,820.91
  6. Step 6: Final answer
    x = 783.54

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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.