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Finding the Fourth Proportional to 10,664, 16,001.76 and 5,192

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Solution

The fourth proportional to 10,664, 16,001.76 and 5,192 is: 7,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664 : 16,001.76 = 5,192 : x
  2. Step 2: Convert to fraction form
    10,664/16,001.76 = 5,192/x
  3. Step 3: Cross multiply
    10,664x = 16,001.76 × 5,192
  4. Step 4: Simplify right side
    10,664x = 83,081,137.92
  5. Step 5: Solve for x
    x = 83,081,137.92/10,664
  6. Step 6: Final answer
    x = 7,790.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.