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Finding the Fourth Proportional to 14,988.37, 20,683.84 and 8,274

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Solution

The fourth proportional to 14,988.37, 20,683.84 and 8,274 is: 11,418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,988.37 : 20,683.84 = 8,274 : x
  2. Step 2: Convert to fraction form
    14,988.37/20,683.84 = 8,274/x
  3. Step 3: Cross multiply
    14,988.37x = 20,683.84 × 8,274
  4. Step 4: Simplify right side
    14,988.37x = 171,138,092.16
  5. Step 5: Solve for x
    x = 171,138,092.16/14,988.37
  6. Step 6: Final answer
    x = 11,418.06

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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.