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Finding the Fourth Proportional to 3,767.52, 5,193.12 and 2,980.08

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Solution

The fourth proportional to 3,767.52, 5,193.12 and 2,980.08 is: 4,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.52 : 5,193.12 = 2,980.08 : x
  2. Step 2: Convert to fraction form
    3,767.52/5,193.12 = 2,980.08/x
  3. Step 3: Cross multiply
    3,767.52x = 5,193.12 × 2,980.08
  4. Step 4: Simplify right side
    3,767.52x = 15,475,913.05
  5. Step 5: Solve for x
    x = 15,475,913.05/3,767.52
  6. Step 6: Final answer
    x = 4,107.72

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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.