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Finding the Fourth Proportional to 6,111.49, 8,412.45 and 5,324.17

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Solution

The fourth proportional to 6,111.49, 8,412.45 and 5,324.17 is: 7,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.49 : 8,412.45 = 5,324.17 : x
  2. Step 2: Convert to fraction form
    6,111.49/8,412.45 = 5,324.17/x
  3. Step 3: Cross multiply
    6,111.49x = 8,412.45 × 5,324.17
  4. Step 4: Simplify right side
    6,111.49x = 44,789,313.92
  5. Step 5: Solve for x
    x = 44,789,313.92/6,111.49
  6. Step 6: Final answer
    x = 7,328.71

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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.