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Finding the Fourth Proportional to 2,977.54, 4,109.08 and 1,797.92

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Solution

The fourth proportional to 2,977.54, 4,109.08 and 1,797.92 is: 2,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.54 : 4,109.08 = 1,797.92 : x
  2. Step 2: Convert to fraction form
    2,977.54/4,109.08 = 1,797.92/x
  3. Step 3: Cross multiply
    2,977.54x = 4,109.08 × 1,797.92
  4. Step 4: Simplify right side
    2,977.54x = 7,387,797.11
  5. Step 5: Solve for x
    x = 7,387,797.11/2,977.54
  6. Step 6: Final answer
    x = 2,481.17

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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.