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Finding the Fourth Proportional to 12,816.91, 17,687.43 and 7,227.91

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Solution

The fourth proportional to 12,816.91, 17,687.43 and 7,227.91 is: 9,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.91 : 17,687.43 = 7,227.91 : x
  2. Step 2: Convert to fraction form
    12,816.91/17,687.43 = 7,227.91/x
  3. Step 3: Cross multiply
    12,816.91x = 17,687.43 × 7,227.91
  4. Step 4: Simplify right side
    12,816.91x = 127,843,152.17
  5. Step 5: Solve for x
    x = 127,843,152.17/12,816.91
  6. Step 6: Final answer
    x = 9,974.57

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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.