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Finding the Fourth Proportional to 8,228.93, 11,333.13 and 7,109.51

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Solution

The fourth proportional to 8,228.93, 11,333.13 and 7,109.51 is: 9,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.93 : 11,333.13 = 7,109.51 : x
  2. Step 2: Convert to fraction form
    8,228.93/11,333.13 = 7,109.51/x
  3. Step 3: Cross multiply
    8,228.93x = 11,333.13 × 7,109.51
  4. Step 4: Simplify right side
    8,228.93x = 80,573,001.07
  5. Step 5: Solve for x
    x = 80,573,001.07/8,228.93
  6. Step 6: Final answer
    x = 9,791.43

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1.5x scale

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.