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Finding the Fourth Proportional to 10,765.17, 16,151.87 and 5,218.09

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Solution

The fourth proportional to 10,765.17, 16,151.87 and 5,218.09 is: 7,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.17 : 16,151.87 = 5,218.09 : x
  2. Step 2: Convert to fraction form
    10,765.17/16,151.87 = 5,218.09/x
  3. Step 3: Cross multiply
    10,765.17x = 16,151.87 × 5,218.09
  4. Step 4: Simplify right side
    10,765.17x = 84,281,883.99
  5. Step 5: Solve for x
    x = 84,281,883.99/10,765.17
  6. Step 6: Final answer
    x = 7,829.13

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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.