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Finding the Fourth Proportional to 6,624.56, 9,143.16 and 3,830

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Solution

The fourth proportional to 6,624.56, 9,143.16 and 3,830 is: 5,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.56 : 9,143.16 = 3,830 : x
  2. Step 2: Convert to fraction form
    6,624.56/9,143.16 = 3,830/x
  3. Step 3: Cross multiply
    6,624.56x = 9,143.16 × 3,830
  4. Step 4: Simplify right side
    6,624.56x = 35,018,302.80
  5. Step 5: Solve for x
    x = 35,018,302.80/6,624.56
  6. Step 6: Final answer
    x = 5,286.13

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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.