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Finding the Fourth Proportional to 2,611.06, 3,602.55 and 1,680.10

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Solution

The fourth proportional to 2,611.06, 3,602.55 and 1,680.10 is: 2,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.06 : 3,602.55 = 1,680.10 : x
  2. Step 2: Convert to fraction form
    2,611.06/3,602.55 = 1,680.10/x
  3. Step 3: Cross multiply
    2,611.06x = 3,602.55 × 1,680.10
  4. Step 4: Simplify right side
    2,611.06x = 6,052,644.26
  5. Step 5: Solve for x
    x = 6,052,644.26/2,611.06
  6. Step 6: Final answer
    x = 2,318.08

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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.