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Finding the Fourth Proportional to 11,905.80, 17,854.08 and 6,356.12

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Solution

The fourth proportional to 11,905.80, 17,854.08 and 6,356.12 is: 9,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.80 : 17,854.08 = 6,356.12 : x
  2. Step 2: Convert to fraction form
    11,905.80/17,854.08 = 6,356.12/x
  3. Step 3: Cross multiply
    11,905.80x = 17,854.08 × 6,356.12
  4. Step 4: Simplify right side
    11,905.80x = 113,482,561.86
  5. Step 5: Solve for x
    x = 113,482,561.86/11,905.80
  6. Step 6: Final answer
    x = 9,531.70

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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.