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Finding the Fourth Proportional to 3,442.61, 5,163.42 and 977.65

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Solution

The fourth proportional to 3,442.61, 5,163.42 and 977.65 is: 1,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.61 : 5,163.42 = 977.65 : x
  2. Step 2: Convert to fraction form
    3,442.61/5,163.42 = 977.65/x
  3. Step 3: Cross multiply
    3,442.61x = 5,163.42 × 977.65
  4. Step 4: Simplify right side
    3,442.61x = 5,048,017.56
  5. Step 5: Solve for x
    x = 5,048,017.56/3,442.61
  6. Step 6: Final answer
    x = 1,466.33

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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.