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Finding the Fourth Proportional to 12,817.17, 17,687.84 and 7,512.08

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Solution

The fourth proportional to 12,817.17, 17,687.84 and 7,512.08 is: 10,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.17 : 17,687.84 = 7,512.08 : x
  2. Step 2: Convert to fraction form
    12,817.17/17,687.84 = 7,512.08/x
  3. Step 3: Cross multiply
    12,817.17x = 17,687.84 × 7,512.08
  4. Step 4: Simplify right side
    12,817.17x = 132,872,343.11
  5. Step 5: Solve for x
    x = 132,872,343.11/12,817.17
  6. Step 6: Final answer
    x = 10,366.75

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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.