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Finding the Fourth Proportional to 12,447.68, 18,674.98 and 5,428.31

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Solution

The fourth proportional to 12,447.68, 18,674.98 and 5,428.31 is: 8,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.68 : 18,674.98 = 5,428.31 : x
  2. Step 2: Convert to fraction form
    12,447.68/18,674.98 = 5,428.31/x
  3. Step 3: Cross multiply
    12,447.68x = 18,674.98 × 5,428.31
  4. Step 4: Simplify right side
    12,447.68x = 101,373,679.35
  5. Step 5: Solve for x
    x = 101,373,679.35/12,447.68
  6. Step 6: Final answer
    x = 8,143.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.