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Finding the Fourth Proportional to 2,697.65, 4,047.15 and 2,144.45

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Solution

The fourth proportional to 2,697.65, 4,047.15 and 2,144.45 is: 3,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.65 : 4,047.15 = 2,144.45 : x
  2. Step 2: Convert to fraction form
    2,697.65/4,047.15 = 2,144.45/x
  3. Step 3: Cross multiply
    2,697.65x = 4,047.15 × 2,144.45
  4. Step 4: Simplify right side
    2,697.65x = 8,678,910.82
  5. Step 5: Solve for x
    x = 8,678,910.82/2,697.65
  6. Step 6: Final answer
    x = 3,217.21

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1.5x scale

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.