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Finding the Fourth Proportional to 12,287.22, 18,432.06 and 3,965.28

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Solution

The fourth proportional to 12,287.22, 18,432.06 and 3,965.28 is: 5,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.22 : 18,432.06 = 3,965.28 : x
  2. Step 2: Convert to fraction form
    12,287.22/18,432.06 = 3,965.28/x
  3. Step 3: Cross multiply
    12,287.22x = 18,432.06 × 3,965.28
  4. Step 4: Simplify right side
    12,287.22x = 73,088,278.88
  5. Step 5: Solve for x
    x = 73,088,278.88/12,287.22
  6. Step 6: Final answer
    x = 5,948.32

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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.