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Finding the Fourth Proportional to 12,902.25, 17,805.38 and 7,313.25

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Solution

The fourth proportional to 12,902.25, 17,805.38 and 7,313.25 is: 10,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.25 : 17,805.38 = 7,313.25 : x
  2. Step 2: Convert to fraction form
    12,902.25/17,805.38 = 7,313.25/x
  3. Step 3: Cross multiply
    12,902.25x = 17,805.38 × 7,313.25
  4. Step 4: Simplify right side
    12,902.25x = 130,215,195.29
  5. Step 5: Solve for x
    x = 130,215,195.29/12,902.25
  6. Step 6: Final answer
    x = 10,092.44

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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.