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Finding the Fourth Proportional to 6,649.80, 9,176.94 and 3,665.94

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Solution

The fourth proportional to 6,649.80, 9,176.94 and 3,665.94 is: 5,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.80 : 9,176.94 = 3,665.94 : x
  2. Step 2: Convert to fraction form
    6,649.80/9,176.94 = 3,665.94/x
  3. Step 3: Cross multiply
    6,649.80x = 9,176.94 × 3,665.94
  4. Step 4: Simplify right side
    6,649.80x = 33,642,111.42
  5. Step 5: Solve for x
    x = 33,642,111.42/6,649.80
  6. Step 6: Final answer
    x = 5,059.12

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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.