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Finding the Fourth Proportional to 3,443.12, 5,163.44 and 977.76

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Solution

The fourth proportional to 3,443.12, 5,163.44 and 977.76 is: 1,466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.12 : 5,163.44 = 977.76 : x
  2. Step 2: Convert to fraction form
    3,443.12/5,163.44 = 977.76/x
  3. Step 3: Cross multiply
    3,443.12x = 5,163.44 × 977.76
  4. Step 4: Simplify right side
    3,443.12x = 5,048,605.09
  5. Step 5: Solve for x
    x = 5,048,605.09/3,443.12
  6. Step 6: Final answer
    x = 1,466.29

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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.