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Finding the Fourth Proportional to 11,320.53, 16,975.02 and 6,649.66

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Solution

The fourth proportional to 11,320.53, 16,975.02 and 6,649.66 is: 9,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,320.53 : 16,975.02 = 6,649.66 : x
  2. Step 2: Convert to fraction form
    11,320.53/16,975.02 = 6,649.66/x
  3. Step 3: Cross multiply
    11,320.53x = 16,975.02 × 6,649.66
  4. Step 4: Simplify right side
    11,320.53x = 112,878,198.13
  5. Step 5: Solve for x
    x = 112,878,198.13/11,320.53
  6. Step 6: Final answer
    x = 9,971.11

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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.