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Finding the Fourth Proportional to 28,253.21, 42,378.56 and 8,531.16

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Solution

The fourth proportional to 28,253.21, 42,378.56 and 8,531.16 is: 12,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,253.21 : 42,378.56 = 8,531.16 : x
  2. Step 2: Convert to fraction form
    28,253.21/42,378.56 = 8,531.16/x
  3. Step 3: Cross multiply
    28,253.21x = 42,378.56 × 8,531.16
  4. Step 4: Simplify right side
    28,253.21x = 361,538,106.35
  5. Step 5: Solve for x
    x = 361,538,106.35/28,253.21
  6. Step 6: Final answer
    x = 12,796.36

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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.