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Finding the Fourth Proportional to 3,442.55, 5,164.08 and 977.57

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Solution

The fourth proportional to 3,442.55, 5,164.08 and 977.57 is: 1,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.55 : 5,164.08 = 977.57 : x
  2. Step 2: Convert to fraction form
    3,442.55/5,164.08 = 977.57/x
  3. Step 3: Cross multiply
    3,442.55x = 5,164.08 × 977.57
  4. Step 4: Simplify right side
    3,442.55x = 5,048,218.98
  5. Step 5: Solve for x
    x = 5,048,218.98/3,442.55
  6. Step 6: Final answer
    x = 1,466.42

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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.