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Finding the Fourth Proportional to 9,991.04, 14,978.79 and 6,473.61

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Solution

The fourth proportional to 9,991.04, 14,978.79 and 6,473.61 is: 9,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.04 : 14,978.79 = 6,473.61 : x
  2. Step 2: Convert to fraction form
    9,991.04/14,978.79 = 6,473.61/x
  3. Step 3: Cross multiply
    9,991.04x = 14,978.79 × 6,473.61
  4. Step 4: Simplify right side
    9,991.04x = 96,966,844.73
  5. Step 5: Solve for x
    x = 96,966,844.73/9,991.04
  6. Step 6: Final answer
    x = 9,705.39

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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.