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Finding the Fourth Proportional to 6,899.80, 9,522.78 and 3,916

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Solution

The fourth proportional to 6,899.80, 9,522.78 and 3,916 is: 5,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.80 : 9,522.78 = 3,916 : x
  2. Step 2: Convert to fraction form
    6,899.80/9,522.78 = 3,916/x
  3. Step 3: Cross multiply
    6,899.80x = 9,522.78 × 3,916
  4. Step 4: Simplify right side
    6,899.80x = 37,291,206.48
  5. Step 5: Solve for x
    x = 37,291,206.48/6,899.80
  6. Step 6: Final answer
    x = 5,404.68

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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.