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Finding the Fourth Proportional to 19,640, 27,098.71 and 11,140.09

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Solution

The fourth proportional to 19,640, 27,098.71 and 11,140.09 is: 15,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640 : 27,098.71 = 11,140.09 : x
  2. Step 2: Convert to fraction form
    19,640/27,098.71 = 11,140.09/x
  3. Step 3: Cross multiply
    19,640x = 27,098.71 × 11,140.09
  4. Step 4: Simplify right side
    19,640x = 301,882,068.28
  5. Step 5: Solve for x
    x = 301,882,068.28/19,640
  6. Step 6: Final answer
    x = 15,370.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.