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Finding the Fourth Proportional to 28,118.64, 42,171.77 and 8,394.64

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Solution

The fourth proportional to 28,118.64, 42,171.77 and 8,394.64 is: 12,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,118.64 : 42,171.77 = 8,394.64 : x
  2. Step 2: Convert to fraction form
    28,118.64/42,171.77 = 8,394.64/x
  3. Step 3: Cross multiply
    28,118.64x = 42,171.77 × 8,394.64
  4. Step 4: Simplify right side
    28,118.64x = 354,016,742.87
  5. Step 5: Solve for x
    x = 354,016,742.87/28,118.64
  6. Step 6: Final answer
    x = 12,590.11

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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.