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Finding the Fourth Proportional to 27,640.16, 41,452.64 and 7,644.90

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Solution

The fourth proportional to 27,640.16, 41,452.64 and 7,644.90 is: 11,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640.16 : 41,452.64 = 7,644.90 : x
  2. Step 2: Convert to fraction form
    27,640.16/41,452.64 = 7,644.90/x
  3. Step 3: Cross multiply
    27,640.16x = 41,452.64 × 7,644.90
  4. Step 4: Simplify right side
    27,640.16x = 316,901,287.54
  5. Step 5: Solve for x
    x = 316,901,287.54/27,640.16
  6. Step 6: Final answer
    x = 11,465.25

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1.5x scale

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.