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Finding the Fourth Proportional to 2,343.84, 3,514.64 and 762.12

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Solution

The fourth proportional to 2,343.84, 3,514.64 and 762.12 is: 1,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.84 : 3,514.64 = 762.12 : x
  2. Step 2: Convert to fraction form
    2,343.84/3,514.64 = 762.12/x
  3. Step 3: Cross multiply
    2,343.84x = 3,514.64 × 762.12
  4. Step 4: Simplify right side
    2,343.84x = 2,678,577.44
  5. Step 5: Solve for x
    x = 2,678,577.44/2,343.84
  6. Step 6: Final answer
    x = 1,142.82

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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.