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Finding the Fourth Proportional to 2,521.53, 3,782.34 and 878.11

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Solution

The fourth proportional to 2,521.53, 3,782.34 and 878.11 is: 1,317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.53 : 3,782.34 = 878.11 : x
  2. Step 2: Convert to fraction form
    2,521.53/3,782.34 = 878.11/x
  3. Step 3: Cross multiply
    2,521.53x = 3,782.34 × 878.11
  4. Step 4: Simplify right side
    2,521.53x = 3,321,301.12
  5. Step 5: Solve for x
    x = 3,321,301.12/2,521.53
  6. Step 6: Final answer
    x = 1,317.18

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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.