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Finding the Fourth Proportional to 2,463.81, 3,695.81 and 820.41

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Solution

The fourth proportional to 2,463.81, 3,695.81 and 820.41 is: 1,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.81 : 3,695.81 = 820.41 : x
  2. Step 2: Convert to fraction form
    2,463.81/3,695.81 = 820.41/x
  3. Step 3: Cross multiply
    2,463.81x = 3,695.81 × 820.41
  4. Step 4: Simplify right side
    2,463.81x = 3,032,075.38
  5. Step 5: Solve for x
    x = 3,032,075.38/2,463.81
  6. Step 6: Final answer
    x = 1,230.64

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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.