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Finding the Fourth Proportional to 12,882.34, 17,772.51 and 7,568.74

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Solution

The fourth proportional to 12,882.34, 17,772.51 and 7,568.74 is: 10,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.34 : 17,772.51 = 7,568.74 : x
  2. Step 2: Convert to fraction form
    12,882.34/17,772.51 = 7,568.74/x
  3. Step 3: Cross multiply
    12,882.34x = 17,772.51 × 7,568.74
  4. Step 4: Simplify right side
    12,882.34x = 134,515,507.34
  5. Step 5: Solve for x
    x = 134,515,507.34/12,882.34
  6. Step 6: Final answer
    x = 10,441.85

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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.