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Finding the Fourth Proportional to 2,458.29, 3,687.47 and 878.26

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Solution

The fourth proportional to 2,458.29, 3,687.47 and 878.26 is: 1,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.29 : 3,687.47 = 878.26 : x
  2. Step 2: Convert to fraction form
    2,458.29/3,687.47 = 878.26/x
  3. Step 3: Cross multiply
    2,458.29x = 3,687.47 × 878.26
  4. Step 4: Simplify right side
    2,458.29x = 3,238,557.40
  5. Step 5: Solve for x
    x = 3,238,557.40/2,458.29
  6. Step 6: Final answer
    x = 1,317.40

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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.