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Finding the Fourth Proportional to 2,520.71, 3,480.65 and 1,638.02

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Solution

The fourth proportional to 2,520.71, 3,480.65 and 1,638.02 is: 2,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.71 : 3,480.65 = 1,638.02 : x
  2. Step 2: Convert to fraction form
    2,520.71/3,480.65 = 1,638.02/x
  3. Step 3: Cross multiply
    2,520.71x = 3,480.65 × 1,638.02
  4. Step 4: Simplify right side
    2,520.71x = 5,701,348.72
  5. Step 5: Solve for x
    x = 5,701,348.72/2,520.71
  6. Step 6: Final answer
    x = 2,261.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.