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Finding the Fourth Proportional to 2,359.19, 3,538.67 and 878.41

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Solution

The fourth proportional to 2,359.19, 3,538.67 and 878.41 is: 1,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.19 : 3,538.67 = 878.41 : x
  2. Step 2: Convert to fraction form
    2,359.19/3,538.67 = 878.41/x
  3. Step 3: Cross multiply
    2,359.19x = 3,538.67 × 878.41
  4. Step 4: Simplify right side
    2,359.19x = 3,108,398.72
  5. Step 5: Solve for x
    x = 3,108,398.72/2,359.19
  6. Step 6: Final answer
    x = 1,317.57

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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.