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Finding the Fourth Proportional to 2,157.35, 2,974.81 and 1,658.89

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Solution

The fourth proportional to 2,157.35, 2,974.81 and 1,658.89 is: 2,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.35 : 2,974.81 = 1,658.89 : x
  2. Step 2: Convert to fraction form
    2,157.35/2,974.81 = 1,658.89/x
  3. Step 3: Cross multiply
    2,157.35x = 2,974.81 × 1,658.89
  4. Step 4: Simplify right side
    2,157.35x = 4,934,882.56
  5. Step 5: Solve for x
    x = 4,934,882.56/2,157.35
  6. Step 6: Final answer
    x = 2,287.47

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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.