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Finding the Fourth Proportional to 12,298.16, 16,960.92 and 8,102

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Solution

The fourth proportional to 12,298.16, 16,960.92 and 8,102 is: 11,173.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.16 : 16,960.92 = 8,102 : x
  2. Step 2: Convert to fraction form
    12,298.16/16,960.92 = 8,102/x
  3. Step 3: Cross multiply
    12,298.16x = 16,960.92 × 8,102
  4. Step 4: Simplify right side
    12,298.16x = 137,417,373.84
  5. Step 5: Solve for x
    x = 137,417,373.84/12,298.16
  6. Step 6: Final answer
    x = 11,173.82

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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.