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Finding the Fourth Proportional to 2,465.31, 3,698.07 and 821.91

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Solution

The fourth proportional to 2,465.31, 3,698.07 and 821.91 is: 1,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.31 : 3,698.07 = 821.91 : x
  2. Step 2: Convert to fraction form
    2,465.31/3,698.07 = 821.91/x
  3. Step 3: Cross multiply
    2,465.31x = 3,698.07 × 821.91
  4. Step 4: Simplify right side
    2,465.31x = 3,039,480.71
  5. Step 5: Solve for x
    x = 3,039,480.71/2,465.31
  6. Step 6: Final answer
    x = 1,232.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.