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Finding the Fourth Proportional to 2,375.66, 3,278.86 and 1,566.69

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Solution

The fourth proportional to 2,375.66, 3,278.86 and 1,566.69 is: 2,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.66 : 3,278.86 = 1,566.69 : x
  2. Step 2: Convert to fraction form
    2,375.66/3,278.86 = 1,566.69/x
  3. Step 3: Cross multiply
    2,375.66x = 3,278.86 × 1,566.69
  4. Step 4: Simplify right side
    2,375.66x = 5,136,940.96
  5. Step 5: Solve for x
    x = 5,136,940.96/2,375.66
  6. Step 6: Final answer
    x = 2,162.32

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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.