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Finding the Fourth Proportional to 12,504.97, 17,261.20 and 7,201.90

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Solution

The fourth proportional to 12,504.97, 17,261.20 and 7,201.90 is: 9,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.97 : 17,261.20 = 7,201.90 : x
  2. Step 2: Convert to fraction form
    12,504.97/17,261.20 = 7,201.90/x
  3. Step 3: Cross multiply
    12,504.97x = 17,261.20 × 7,201.90
  4. Step 4: Simplify right side
    12,504.97x = 124,313,349.97
  5. Step 5: Solve for x
    x = 124,313,349.97/12,504.97
  6. Step 6: Final answer
    x = 9,941.12

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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.