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Finding the Fourth Proportional to 10,195.36, 14,069.49 and 6,216.22

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Solution

The fourth proportional to 10,195.36, 14,069.49 and 6,216.22 is: 8,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.36 : 14,069.49 = 6,216.22 : x
  2. Step 2: Convert to fraction form
    10,195.36/14,069.49 = 6,216.22/x
  3. Step 3: Cross multiply
    10,195.36x = 14,069.49 × 6,216.22
  4. Step 4: Simplify right side
    10,195.36x = 87,459,045.13
  5. Step 5: Solve for x
    x = 87,459,045.13/10,195.36
  6. Step 6: Final answer
    x = 8,578.32

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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.