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Finding the Fourth Proportional to 27,428, 41,142.14 and 6,651.50

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Solution

The fourth proportional to 27,428, 41,142.14 and 6,651.50 is: 9,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428 : 41,142.14 = 6,651.50 : x
  2. Step 2: Convert to fraction form
    27,428/41,142.14 = 6,651.50/x
  3. Step 3: Cross multiply
    27,428x = 41,142.14 × 6,651.50
  4. Step 4: Simplify right side
    27,428x = 273,656,944.21
  5. Step 5: Solve for x
    x = 273,656,944.21/27,428
  6. Step 6: Final answer
    x = 9,977.28

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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.