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Finding the Fourth Proportional to 11,796, 16,288.20 and 10,320.99

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Solution

The fourth proportional to 11,796, 16,288.20 and 10,320.99 is: 14,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796 : 16,288.20 = 10,320.99 : x
  2. Step 2: Convert to fraction form
    11,796/16,288.20 = 10,320.99/x
  3. Step 3: Cross multiply
    11,796x = 16,288.20 × 10,320.99
  4. Step 4: Simplify right side
    11,796x = 168,110,349.32
  5. Step 5: Solve for x
    x = 168,110,349.32/11,796
  6. Step 6: Final answer
    x = 14,251.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.