Home / 3,442.24-5,163.39-977.14

Finding the Fourth Proportional to 3,442.24, 5,163.39 and 977.14

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Solution

The fourth proportional to 3,442.24, 5,163.39 and 977.14 is: 1,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.24 : 5,163.39 = 977.14 : x
  2. Step 2: Convert to fraction form
    3,442.24/5,163.39 = 977.14/x
  3. Step 3: Cross multiply
    3,442.24x = 5,163.39 × 977.14
  4. Step 4: Simplify right side
    3,442.24x = 5,045,354.90
  5. Step 5: Solve for x
    x = 5,045,354.90/3,442.24
  6. Step 6: Final answer
    x = 1,465.72

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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.