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Finding the Fourth Proportional to 7,618, 10,514.28 and 4,306

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Solution

The fourth proportional to 7,618, 10,514.28 and 4,306 is: 5,943.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618 : 10,514.28 = 4,306 : x
  2. Step 2: Convert to fraction form
    7,618/10,514.28 = 4,306/x
  3. Step 3: Cross multiply
    7,618x = 10,514.28 × 4,306
  4. Step 4: Simplify right side
    7,618x = 45,274,489.68
  5. Step 5: Solve for x
    x = 45,274,489.68/7,618
  6. Step 6: Final answer
    x = 5,943.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.