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Finding the Fourth Proportional to 28,047.83, 42,078.62 and 8,326.41

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Solution

The fourth proportional to 28,047.83, 42,078.62 and 8,326.41 is: 12,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,047.83 : 42,078.62 = 8,326.41 : x
  2. Step 2: Convert to fraction form
    28,047.83/42,078.62 = 8,326.41/x
  3. Step 3: Cross multiply
    28,047.83x = 42,078.62 × 8,326.41
  4. Step 4: Simplify right side
    28,047.83x = 350,363,842.35
  5. Step 5: Solve for x
    x = 350,363,842.35/28,047.83
  6. Step 6: Final answer
    x = 12,491.66

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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.