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Finding the Fourth Proportional to 2,343.69, 3,514.36 and 862.84

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Solution

The fourth proportional to 2,343.69, 3,514.36 and 862.84 is: 1,293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.69 : 3,514.36 = 862.84 : x
  2. Step 2: Convert to fraction form
    2,343.69/3,514.36 = 862.84/x
  3. Step 3: Cross multiply
    2,343.69x = 3,514.36 × 862.84
  4. Step 4: Simplify right side
    2,343.69x = 3,032,330.38
  5. Step 5: Solve for x
    x = 3,032,330.38/2,343.69
  6. Step 6: Final answer
    x = 1,293.83

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1.5x scale

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.