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Finding the Fourth Proportional to 2,463.75, 3,696.17 and 821.48

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Solution

The fourth proportional to 2,463.75, 3,696.17 and 821.48 is: 1,232.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.75 : 3,696.17 = 821.48 : x
  2. Step 2: Convert to fraction form
    2,463.75/3,696.17 = 821.48/x
  3. Step 3: Cross multiply
    2,463.75x = 3,696.17 × 821.48
  4. Step 4: Simplify right side
    2,463.75x = 3,036,307.14
  5. Step 5: Solve for x
    x = 3,036,307.14/2,463.75
  6. Step 6: Final answer
    x = 1,232.39

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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.