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Finding the Fourth Proportional to 2,043.17, 3,059.22 and 1,602.10

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Solution

The fourth proportional to 2,043.17, 3,059.22 and 1,602.10 is: 2,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.17 : 3,059.22 = 1,602.10 : x
  2. Step 2: Convert to fraction form
    2,043.17/3,059.22 = 1,602.10/x
  3. Step 3: Cross multiply
    2,043.17x = 3,059.22 × 1,602.10
  4. Step 4: Simplify right side
    2,043.17x = 4,901,176.36
  5. Step 5: Solve for x
    x = 4,901,176.36/2,043.17
  6. Step 6: Final answer
    x = 2,398.81

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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.