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Finding the Fourth Proportional to 2,343.50, 3,514.88 and 783.49

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Solution

The fourth proportional to 2,343.50, 3,514.88 and 783.49 is: 1,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.50 : 3,514.88 = 783.49 : x
  2. Step 2: Convert to fraction form
    2,343.50/3,514.88 = 783.49/x
  3. Step 3: Cross multiply
    2,343.50x = 3,514.88 × 783.49
  4. Step 4: Simplify right side
    2,343.50x = 2,753,866.50
  5. Step 5: Solve for x
    x = 2,753,866.50/2,343.50
  6. Step 6: Final answer
    x = 1,175.11

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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.