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Finding the Fourth Proportional to 10,446, 15,661.98 and 4,115.09

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Solution

The fourth proportional to 10,446, 15,661.98 and 4,115.09 is: 6,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446 : 15,661.98 = 4,115.09 : x
  2. Step 2: Convert to fraction form
    10,446/15,661.98 = 4,115.09/x
  3. Step 3: Cross multiply
    10,446x = 15,661.98 × 4,115.09
  4. Step 4: Simplify right side
    10,446x = 64,450,457.28
  5. Step 5: Solve for x
    x = 64,450,457.28/10,446
  6. Step 6: Final answer
    x = 6,169.87

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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.