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Finding the Fourth Proportional to 1,535.57, 2,119.08 and 872.42

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Solution

The fourth proportional to 1,535.57, 2,119.08 and 872.42 is: 1,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.57 : 2,119.08 = 872.42 : x
  2. Step 2: Convert to fraction form
    1,535.57/2,119.08 = 872.42/x
  3. Step 3: Cross multiply
    1,535.57x = 2,119.08 × 872.42
  4. Step 4: Simplify right side
    1,535.57x = 1,848,725.94
  5. Step 5: Solve for x
    x = 1,848,725.94/1,535.57
  6. Step 6: Final answer
    x = 1,203.94

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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.