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Finding the Fourth Proportional to 2,640.42, 3,643.86 and 1,461.60

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Solution

The fourth proportional to 2,640.42, 3,643.86 and 1,461.60 is: 2,017.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.42 : 3,643.86 = 1,461.60 : x
  2. Step 2: Convert to fraction form
    2,640.42/3,643.86 = 1,461.60/x
  3. Step 3: Cross multiply
    2,640.42x = 3,643.86 × 1,461.60
  4. Step 4: Simplify right side
    2,640.42x = 5,325,865.78
  5. Step 5: Solve for x
    x = 5,325,865.78/2,640.42
  6. Step 6: Final answer
    x = 2,017.05

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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.