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Finding the Fourth Proportional to 27,419.50, 41,129.48 and 6,643

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Solution

The fourth proportional to 27,419.50, 41,129.48 and 6,643 is: 9,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.50 : 41,129.48 = 6,643 : x
  2. Step 2: Convert to fraction form
    27,419.50/41,129.48 = 6,643/x
  3. Step 3: Cross multiply
    27,419.50x = 41,129.48 × 6,643
  4. Step 4: Simplify right side
    27,419.50x = 273,223,102.43
  5. Step 5: Solve for x
    x = 273,223,102.43/27,419.50
  6. Step 6: Final answer
    x = 9,964.55

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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.