Home / 1,292.11-1,937.68-414.38

Finding the Fourth Proportional to 1,292.11, 1,937.68 and 414.38

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Solution

The fourth proportional to 1,292.11, 1,937.68 and 414.38 is: 621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.11 : 1,937.68 = 414.38 : x
  2. Step 2: Convert to fraction form
    1,292.11/1,937.68 = 414.38/x
  3. Step 3: Cross multiply
    1,292.11x = 1,937.68 × 414.38
  4. Step 4: Simplify right side
    1,292.11x = 802,939.65
  5. Step 5: Solve for x
    x = 802,939.65/1,292.11
  6. Step 6: Final answer
    x = 621.42

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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.