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Finding the Fourth Proportional to 2,358.57, 3,538.76 and 878.70

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Solution

The fourth proportional to 2,358.57, 3,538.76 and 878.70 is: 1,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.57 : 3,538.76 = 878.70 : x
  2. Step 2: Convert to fraction form
    2,358.57/3,538.76 = 878.70/x
  3. Step 3: Cross multiply
    2,358.57x = 3,538.76 × 878.70
  4. Step 4: Simplify right side
    2,358.57x = 3,109,504.02
  5. Step 5: Solve for x
    x = 3,109,504.02/2,358.57
  6. Step 6: Final answer
    x = 1,318.39

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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.