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Finding the Fourth Proportional to 6,649.90, 9,174.29 and 3,816.25

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Solution

The fourth proportional to 6,649.90, 9,174.29 and 3,816.25 is: 5,264.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.90 : 9,174.29 = 3,816.25 : x
  2. Step 2: Convert to fraction form
    6,649.90/9,174.29 = 3,816.25/x
  3. Step 3: Cross multiply
    6,649.90x = 9,174.29 × 3,816.25
  4. Step 4: Simplify right side
    6,649.90x = 35,011,319.26
  5. Step 5: Solve for x
    x = 35,011,319.26/6,649.90
  6. Step 6: Final answer
    x = 5,264.94

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Similar ratio
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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.