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Finding the Fourth Proportional to 3,442.62, 5,164 and 977.39

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Solution

The fourth proportional to 3,442.62, 5,164 and 977.39 is: 1,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.62 : 5,164 = 977.39 : x
  2. Step 2: Convert to fraction form
    3,442.62/5,164 = 977.39/x
  3. Step 3: Cross multiply
    3,442.62x = 5,164 × 977.39
  4. Step 4: Simplify right side
    3,442.62x = 5,047,241.96
  5. Step 5: Solve for x
    x = 5,047,241.96/3,442.62
  6. Step 6: Final answer
    x = 1,466.10

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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.