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Finding the Fourth Proportional to 12,175.20, 18,254.70 and 5,938.20

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Solution

The fourth proportional to 12,175.20, 18,254.70 and 5,938.20 is: 8,903.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.20 : 18,254.70 = 5,938.20 : x
  2. Step 2: Convert to fraction form
    12,175.20/18,254.70 = 5,938.20/x
  3. Step 3: Cross multiply
    12,175.20x = 18,254.70 × 5,938.20
  4. Step 4: Simplify right side
    12,175.20x = 108,400,059.54
  5. Step 5: Solve for x
    x = 108,400,059.54/12,175.20
  6. Step 6: Final answer
    x = 8,903.35

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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.