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Finding the Fourth Proportional to 12,318, 16,998.84 and 8,127.06

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Solution

The fourth proportional to 12,318, 16,998.84 and 8,127.06 is: 11,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318 : 16,998.84 = 8,127.06 : x
  2. Step 2: Convert to fraction form
    12,318/16,998.84 = 8,127.06/x
  3. Step 3: Cross multiply
    12,318x = 16,998.84 × 8,127.06
  4. Step 4: Simplify right side
    12,318x = 138,150,592.61
  5. Step 5: Solve for x
    x = 138,150,592.61/12,318
  6. Step 6: Final answer
    x = 11,215.34

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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.