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Finding the Fourth Proportional to 5,335.78, 7,363.38 and 2,977.92

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Solution

The fourth proportional to 5,335.78, 7,363.38 and 2,977.92 is: 4,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.78 : 7,363.38 = 2,977.92 : x
  2. Step 2: Convert to fraction form
    5,335.78/7,363.38 = 2,977.92/x
  3. Step 3: Cross multiply
    5,335.78x = 7,363.38 × 2,977.92
  4. Step 4: Simplify right side
    5,335.78x = 21,927,556.57
  5. Step 5: Solve for x
    x = 21,927,556.57/5,335.78
  6. Step 6: Final answer
    x = 4,109.53

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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.