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Finding the Fourth Proportional to 1,921.74, 2,882.11 and 535.20

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Solution

The fourth proportional to 1,921.74, 2,882.11 and 535.20 is: 802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.74 : 2,882.11 = 535.20 : x
  2. Step 2: Convert to fraction form
    1,921.74/2,882.11 = 535.20/x
  3. Step 3: Cross multiply
    1,921.74x = 2,882.11 × 535.20
  4. Step 4: Simplify right side
    1,921.74x = 1,542,505.27
  5. Step 5: Solve for x
    x = 1,542,505.27/1,921.74
  6. Step 6: Final answer
    x = 802.66

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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.