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Finding the Fourth Proportional to 3,442.30, 5,163.44 and 977.11

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Solution

The fourth proportional to 3,442.30, 5,163.44 and 977.11 is: 1,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.30 : 5,163.44 = 977.11 : x
  2. Step 2: Convert to fraction form
    3,442.30/5,163.44 = 977.11/x
  3. Step 3: Cross multiply
    3,442.30x = 5,163.44 × 977.11
  4. Step 4: Simplify right side
    3,442.30x = 5,045,231.06
  5. Step 5: Solve for x
    x = 5,045,231.06/3,442.30
  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.