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Finding the Fourth Proportional to 12,435.80, 18,641.98 and 6,189.91

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Solution

The fourth proportional to 12,435.80, 18,641.98 and 6,189.91 is: 9,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.80 : 18,641.98 = 6,189.91 : x
  2. Step 2: Convert to fraction form
    12,435.80/18,641.98 = 6,189.91/x
  3. Step 3: Cross multiply
    12,435.80x = 18,641.98 × 6,189.91
  4. Step 4: Simplify right side
    12,435.80x = 115,392,104.74
  5. Step 5: Solve for x
    x = 115,392,104.74/12,435.80
  6. Step 6: Final answer
    x = 9,279.02

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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.