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Finding the Fourth Proportional to 10,861, 16,291.69 and 4,287.14

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Solution

The fourth proportional to 10,861, 16,291.69 and 4,287.14 is: 6,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861 : 16,291.69 = 4,287.14 : x
  2. Step 2: Convert to fraction form
    10,861/16,291.69 = 4,287.14/x
  3. Step 3: Cross multiply
    10,861x = 16,291.69 × 4,287.14
  4. Step 4: Simplify right side
    10,861x = 69,844,755.87
  5. Step 5: Solve for x
    x = 69,844,755.87/10,861
  6. Step 6: Final answer
    x = 6,430.78

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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.