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Finding the Fourth Proportional to 2,666.46, 3,987.30 and 2,375.64

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Solution

The fourth proportional to 2,666.46, 3,987.30 and 2,375.64 is: 3,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.46 : 3,987.30 = 2,375.64 : x
  2. Step 2: Convert to fraction form
    2,666.46/3,987.30 = 2,375.64/x
  3. Step 3: Cross multiply
    2,666.46x = 3,987.30 × 2,375.64
  4. Step 4: Simplify right side
    2,666.46x = 9,472,389.37
  5. Step 5: Solve for x
    x = 9,472,389.37/2,666.46
  6. Step 6: Final answer
    x = 3,552.42

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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.