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Finding the Fourth Proportional to 12,902.44, 17,805.64 and 7,313.44

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Solution

The fourth proportional to 12,902.44, 17,805.64 and 7,313.44 is: 10,092.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.44 : 17,805.64 = 7,313.44 : x
  2. Step 2: Convert to fraction form
    12,902.44/17,805.64 = 7,313.44/x
  3. Step 3: Cross multiply
    12,902.44x = 17,805.64 × 7,313.44
  4. Step 4: Simplify right side
    12,902.44x = 130,220,479.80
  5. Step 5: Solve for x
    x = 130,220,479.80/12,902.44
  6. Step 6: Final answer
    x = 10,092.70

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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.