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Finding the Fourth Proportional to 2,614.01, 3,596.50 and 2,283.22

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Solution

The fourth proportional to 2,614.01, 3,596.50 and 2,283.22 is: 3,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.01 : 3,596.50 = 2,283.22 : x
  2. Step 2: Convert to fraction form
    2,614.01/3,596.50 = 2,283.22/x
  3. Step 3: Cross multiply
    2,614.01x = 3,596.50 × 2,283.22
  4. Step 4: Simplify right side
    2,614.01x = 8,211,608.08
  5. Step 5: Solve for x
    x = 8,211,608.08/2,614.01
  6. Step 6: Final answer
    x = 3,141.39

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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.