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Finding the Fourth Proportional to 2,158.95, 3,235.64 and 908.13

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Solution

The fourth proportional to 2,158.95, 3,235.64 and 908.13 is: 1,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.95 : 3,235.64 = 908.13 : x
  2. Step 2: Convert to fraction form
    2,158.95/3,235.64 = 908.13/x
  3. Step 3: Cross multiply
    2,158.95x = 3,235.64 × 908.13
  4. Step 4: Simplify right side
    2,158.95x = 2,938,377.21
  5. Step 5: Solve for x
    x = 2,938,377.21/2,158.95
  6. Step 6: Final answer
    x = 1,361.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.