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Finding the Fourth Proportional to 3,442.92, 5,164.37 and 977.76

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Solution

The fourth proportional to 3,442.92, 5,164.37 and 977.76 is: 1,466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.92 : 5,164.37 = 977.76 : x
  2. Step 2: Convert to fraction form
    3,442.92/5,164.37 = 977.76/x
  3. Step 3: Cross multiply
    3,442.92x = 5,164.37 × 977.76
  4. Step 4: Simplify right side
    3,442.92x = 5,049,514.41
  5. Step 5: Solve for x
    x = 5,049,514.41/3,442.92
  6. Step 6: Final answer
    x = 1,466.64

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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.