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Finding the Fourth Proportional to 9,991.29, 14,976.11 and 4,929

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Solution

The fourth proportional to 9,991.29, 14,976.11 and 4,929 is: 7,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.29 : 14,976.11 = 4,929 : x
  2. Step 2: Convert to fraction form
    9,991.29/14,976.11 = 4,929/x
  3. Step 3: Cross multiply
    9,991.29x = 14,976.11 × 4,929
  4. Step 4: Simplify right side
    9,991.29x = 73,817,221.55
  5. Step 5: Solve for x
    x = 73,817,221.55/9,991.29
  6. Step 6: Final answer
    x = 7,388.16

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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.