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Finding the Fourth Proportional to 5,442.78, 7,511.16 and 2,958.78

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Solution

The fourth proportional to 5,442.78, 7,511.16 and 2,958.78 is: 4,083.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442.78 : 7,511.16 = 2,958.78 : x
  2. Step 2: Convert to fraction form
    5,442.78/7,511.16 = 2,958.78/x
  3. Step 3: Cross multiply
    5,442.78x = 7,511.16 × 2,958.78
  4. Step 4: Simplify right side
    5,442.78x = 22,223,869.98
  5. Step 5: Solve for x
    x = 22,223,869.98/5,442.78
  6. Step 6: Final answer
    x = 4,083.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.