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Finding the Fourth Proportional to 1,833.80, 2,753.90 and 1,776.20

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Solution

The fourth proportional to 1,833.80, 2,753.90 and 1,776.20 is: 2,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.80 : 2,753.90 = 1,776.20 : x
  2. Step 2: Convert to fraction form
    1,833.80/2,753.90 = 1,776.20/x
  3. Step 3: Cross multiply
    1,833.80x = 2,753.90 × 1,776.20
  4. Step 4: Simplify right side
    1,833.80x = 4,891,477.18
  5. Step 5: Solve for x
    x = 4,891,477.18/1,833.80
  6. Step 6: Final answer
    x = 2,667.40

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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.