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Finding the Fourth Proportional to 6,649.47, 9,176.36 and 3,665.53

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Solution

The fourth proportional to 6,649.47, 9,176.36 and 3,665.53 is: 5,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.47 : 9,176.36 = 3,665.53 : x
  2. Step 2: Convert to fraction form
    6,649.47/9,176.36 = 3,665.53/x
  3. Step 3: Cross multiply
    6,649.47x = 9,176.36 × 3,665.53
  4. Step 4: Simplify right side
    6,649.47x = 33,636,222.87
  5. Step 5: Solve for x
    x = 33,636,222.87/6,649.47
  6. Step 6: Final answer
    x = 5,058.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.