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Finding the Fourth Proportional to 2,343.27, 3,514.50 and 783.12

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Solution

The fourth proportional to 2,343.27, 3,514.50 and 783.12 is: 1,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.27 : 3,514.50 = 783.12 : x
  2. Step 2: Convert to fraction form
    2,343.27/3,514.50 = 783.12/x
  3. Step 3: Cross multiply
    2,343.27x = 3,514.50 × 783.12
  4. Step 4: Simplify right side
    2,343.27x = 2,752,275.24
  5. Step 5: Solve for x
    x = 2,752,275.24/2,343.27
  6. Step 6: Final answer
    x = 1,174.54

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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.