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Finding the Fourth Proportional to 12,885, 17,767.51 and 8,095.47

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Solution

The fourth proportional to 12,885, 17,767.51 and 8,095.47 is: 11,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,885 : 17,767.51 = 8,095.47 : x
  2. Step 2: Convert to fraction form
    12,885/17,767.51 = 8,095.47/x
  3. Step 3: Cross multiply
    12,885x = 17,767.51 × 8,095.47
  4. Step 4: Simplify right side
    12,885x = 143,836,344.18
  5. Step 5: Solve for x
    x = 143,836,344.18/12,885
  6. Step 6: Final answer
    x = 11,163.08

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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.