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Finding the Fourth Proportional to 27,989.64, 41,983.81 and 11,345.22

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Solution

The fourth proportional to 27,989.64, 41,983.81 and 11,345.22 is: 17,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,989.64 : 41,983.81 = 11,345.22 : x
  2. Step 2: Convert to fraction form
    27,989.64/41,983.81 = 11,345.22/x
  3. Step 3: Cross multiply
    27,989.64x = 41,983.81 × 11,345.22
  4. Step 4: Simplify right side
    27,989.64x = 476,315,532.53
  5. Step 5: Solve for x
    x = 476,315,532.53/27,989.64
  6. Step 6: Final answer
    x = 17,017.57

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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.