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Finding the Fourth Proportional to 27,419, 41,128.73 and 6,642.50

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Solution

The fourth proportional to 27,419, 41,128.73 and 6,642.50 is: 9,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419 : 41,128.73 = 6,642.50 : x
  2. Step 2: Convert to fraction form
    27,419/41,128.73 = 6,642.50/x
  3. Step 3: Cross multiply
    27,419x = 41,128.73 × 6,642.50
  4. Step 4: Simplify right side
    27,419x = 273,197,555.81
  5. Step 5: Solve for x
    x = 273,197,555.81/27,419
  6. Step 6: Final answer
    x = 9,963.80

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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.