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Finding the Fourth Proportional to 6,130.78, 9,195.99 and 3,649.00

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Solution

The fourth proportional to 6,130.78, 9,195.99 and 3,649.00 is: 5,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.78 : 9,195.99 = 3,649.00 : x
  2. Step 2: Convert to fraction form
    6,130.78/9,195.99 = 3,649.00/x
  3. Step 3: Cross multiply
    6,130.78x = 9,195.99 × 3,649.00
  4. Step 4: Simplify right side
    6,130.78x = 33,556,112.41
  5. Step 5: Solve for x
    x = 33,556,112.41/6,130.78
  6. Step 6: Final answer
    x = 5,473.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.