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Finding the Fourth Proportional to 2,450.71, 3,666.03 and 2,040.40

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Solution

The fourth proportional to 2,450.71, 3,666.03 and 2,040.40 is: 3,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.71 : 3,666.03 = 2,040.40 : x
  2. Step 2: Convert to fraction form
    2,450.71/3,666.03 = 2,040.40/x
  3. Step 3: Cross multiply
    2,450.71x = 3,666.03 × 2,040.40
  4. Step 4: Simplify right side
    2,450.71x = 7,480,167.61
  5. Step 5: Solve for x
    x = 7,480,167.61/2,450.71
  6. Step 6: Final answer
    x = 3,052.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.