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Finding the Fourth Proportional to 2,104.83, 2,901.42 and 1,358.55

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Solution

The fourth proportional to 2,104.83, 2,901.42 and 1,358.55 is: 1,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.83 : 2,901.42 = 1,358.55 : x
  2. Step 2: Convert to fraction form
    2,104.83/2,901.42 = 1,358.55/x
  3. Step 3: Cross multiply
    2,104.83x = 2,901.42 × 1,358.55
  4. Step 4: Simplify right side
    2,104.83x = 3,941,724.14
  5. Step 5: Solve for x
    x = 3,941,724.14/2,104.83
  6. Step 6: Final answer
    x = 1,872.70

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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.