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Finding the Fourth Proportional to 2,338.25, 3,508.38 and 877.22

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Solution

The fourth proportional to 2,338.25, 3,508.38 and 877.22 is: 1,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.25 : 3,508.38 = 877.22 : x
  2. Step 2: Convert to fraction form
    2,338.25/3,508.38 = 877.22/x
  3. Step 3: Cross multiply
    2,338.25x = 3,508.38 × 877.22
  4. Step 4: Simplify right side
    2,338.25x = 3,077,621.10
  5. Step 5: Solve for x
    x = 3,077,621.10/2,338.25
  6. Step 6: Final answer
    x = 1,316.21

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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.