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Finding the Fourth Proportional to 27,419.29, 41,128.94 and 6,642.79

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Solution

The fourth proportional to 27,419.29, 41,128.94 and 6,642.79 is: 9,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.29 : 41,128.94 = 6,642.79 : x
  2. Step 2: Convert to fraction form
    27,419.29/41,128.94 = 6,642.79/x
  3. Step 3: Cross multiply
    27,419.29x = 41,128.94 × 6,642.79
  4. Step 4: Simplify right side
    27,419.29x = 273,210,878.13
  5. Step 5: Solve for x
    x = 273,210,878.13/27,419.29
  6. Step 6: Final answer
    x = 9,964.19

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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.