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Finding the Fourth Proportional to 2,666.58, 3,990.15 and 1,571.46

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Solution

The fourth proportional to 2,666.58, 3,990.15 and 1,571.46 is: 2,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.58 : 3,990.15 = 1,571.46 : x
  2. Step 2: Convert to fraction form
    2,666.58/3,990.15 = 1,571.46/x
  3. Step 3: Cross multiply
    2,666.58x = 3,990.15 × 1,571.46
  4. Step 4: Simplify right side
    2,666.58x = 6,270,361.12
  5. Step 5: Solve for x
    x = 6,270,361.12/2,666.58
  6. Step 6: Final answer
    x = 2,351.46

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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.