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Finding the Fourth Proportional to 3,442.67, 5,163.99 and 977.51

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Solution

The fourth proportional to 3,442.67, 5,163.99 and 977.51 is: 1,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.67 : 5,163.99 = 977.51 : x
  2. Step 2: Convert to fraction form
    3,442.67/5,163.99 = 977.51/x
  3. Step 3: Cross multiply
    3,442.67x = 5,163.99 × 977.51
  4. Step 4: Simplify right side
    3,442.67x = 5,047,845.41
  5. Step 5: Solve for x
    x = 5,047,845.41/3,442.67
  6. Step 6: Final answer
    x = 1,466.26

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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.