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Finding the Fourth Proportional to 2,780.00, 4,169.85 and 700.00

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Solution

The fourth proportional to 2,780.00, 4,169.85 and 700.00 is: 1,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.00 : 4,169.85 = 700.00 : x
  2. Step 2: Convert to fraction form
    2,780.00/4,169.85 = 700.00/x
  3. Step 3: Cross multiply
    2,780.00x = 4,169.85 × 700.00
  4. Step 4: Simplify right side
    2,780.00x = 2,918,905.42
  5. Step 5: Solve for x
    x = 2,918,905.42/2,780.00
  6. Step 6: Final answer
    x = 1,049.97

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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.