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Finding the Fourth Proportional to 12,318, 16,998.84 and 7,350

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Solution

The fourth proportional to 12,318, 16,998.84 and 7,350 is: 10,143

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318 : 16,998.84 = 7,350 : x
  2. Step 2: Convert to fraction form
    12,318/16,998.84 = 7,350/x
  3. Step 3: Cross multiply
    12,318x = 16,998.84 × 7,350
  4. Step 4: Simplify right side
    12,318x = 124,941,474
  5. Step 5: Solve for x
    x = 124,941,474/12,318
  6. Step 6: Final answer
    x = 10,143

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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.