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Finding the Fourth Proportional to 1,658.10, 2,286.72 and 1,361.64

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Solution

The fourth proportional to 1,658.10, 2,286.72 and 1,361.64 is: 1,877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.10 : 2,286.72 = 1,361.64 : x
  2. Step 2: Convert to fraction form
    1,658.10/2,286.72 = 1,361.64/x
  3. Step 3: Cross multiply
    1,658.10x = 2,286.72 × 1,361.64
  4. Step 4: Simplify right side
    1,658.10x = 3,113,689.42
  5. Step 5: Solve for x
    x = 3,113,689.42/1,658.10
  6. Step 6: Final answer
    x = 1,877.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.