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Finding the Fourth Proportional to 28,215.44, 42,322.80 and 8,493.20

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Solution

The fourth proportional to 28,215.44, 42,322.80 and 8,493.20 is: 12,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,215.44 : 42,322.80 = 8,493.20 : x
  2. Step 2: Convert to fraction form
    28,215.44/42,322.80 = 8,493.20/x
  3. Step 3: Cross multiply
    28,215.44x = 42,322.80 × 8,493.20
  4. Step 4: Simplify right side
    28,215.44x = 359,456,004.96
  5. Step 5: Solve for x
    x = 359,456,004.96/28,215.44
  6. Step 6: Final answer
    x = 12,739.69

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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.