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Finding the Fourth Proportional to 12,517.84, 17,274 and 7,213.40

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Solution

The fourth proportional to 12,517.84, 17,274 and 7,213.40 is: 9,954.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.84 : 17,274 = 7,213.40 : x
  2. Step 2: Convert to fraction form
    12,517.84/17,274 = 7,213.40/x
  3. Step 3: Cross multiply
    12,517.84x = 17,274 × 7,213.40
  4. Step 4: Simplify right side
    12,517.84x = 124,604,271.60
  5. Step 5: Solve for x
    x = 124,604,271.60/12,517.84
  6. Step 6: Final answer
    x = 9,954.14

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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.