Home / 3,442.26-5,163.42-977.10

Finding the Fourth Proportional to 3,442.26, 5,163.42 and 977.10

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Solution

The fourth proportional to 3,442.26, 5,163.42 and 977.10 is: 1,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.26 : 5,163.42 = 977.10 : x
  2. Step 2: Convert to fraction form
    3,442.26/5,163.42 = 977.10/x
  3. Step 3: Cross multiply
    3,442.26x = 5,163.42 × 977.10
  4. Step 4: Simplify right side
    3,442.26x = 5,045,177.68
  5. Step 5: Solve for x
    x = 5,045,177.68/3,442.26
  6. Step 6: Final answer
    x = 1,465.66

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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.