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Finding the Fourth Proportional to 6,649.85, 9,176.85 and 3,665.80

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Solution

The fourth proportional to 6,649.85, 9,176.85 and 3,665.80 is: 5,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.85 : 9,176.85 = 3,665.80 : x
  2. Step 2: Convert to fraction form
    6,649.85/9,176.85 = 3,665.80/x
  3. Step 3: Cross multiply
    6,649.85x = 9,176.85 × 3,665.80
  4. Step 4: Simplify right side
    6,649.85x = 33,640,473.79
  5. Step 5: Solve for x
    x = 33,640,473.79/6,649.85
  6. Step 6: Final answer
    x = 5,058.84

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1.5x scale

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.