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Finding the Fourth Proportional to 12,523.84, 17,278.98 and 7,217.94

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Solution

The fourth proportional to 12,523.84, 17,278.98 and 7,217.94 is: 9,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.84 : 17,278.98 = 7,217.94 : x
  2. Step 2: Convert to fraction form
    12,523.84/17,278.98 = 7,217.94/x
  3. Step 3: Cross multiply
    12,523.84x = 17,278.98 × 7,217.94
  4. Step 4: Simplify right side
    12,523.84x = 124,718,640.90
  5. Step 5: Solve for x
    x = 124,718,640.90/12,523.84
  6. Step 6: Final answer
    x = 9,958.50

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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.