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Finding the Fourth Proportional to 12,176.91, 16,807.97 and 7,143.17

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Solution

The fourth proportional to 12,176.91, 16,807.97 and 7,143.17 is: 9,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.91 : 16,807.97 = 7,143.17 : x
  2. Step 2: Convert to fraction form
    12,176.91/16,807.97 = 7,143.17/x
  3. Step 3: Cross multiply
    12,176.91x = 16,807.97 × 7,143.17
  4. Step 4: Simplify right side
    12,176.91x = 120,062,163.82
  5. Step 5: Solve for x
    x = 120,062,163.82/12,176.91
  6. Step 6: Final answer
    x = 9,859.82

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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.