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Finding the Fourth Proportional to 11,308.66, 16,939.07 and 7,146.53

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Solution

The fourth proportional to 11,308.66, 16,939.07 and 7,146.53 is: 10,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.66 : 16,939.07 = 7,146.53 : x
  2. Step 2: Convert to fraction form
    11,308.66/16,939.07 = 7,146.53/x
  3. Step 3: Cross multiply
    11,308.66x = 16,939.07 × 7,146.53
  4. Step 4: Simplify right side
    11,308.66x = 121,055,582.02
  5. Step 5: Solve for x
    x = 121,055,582.02/11,308.66
  6. Step 6: Final answer
    x = 10,704.68

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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.