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Finding the Fourth Proportional to 27,612.64, 41,420 and 7,624.16

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Solution

The fourth proportional to 27,612.64, 41,420 and 7,624.16 is: 11,436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612.64 : 41,420 = 7,624.16 : x
  2. Step 2: Convert to fraction form
    27,612.64/41,420 = 7,624.16/x
  3. Step 3: Cross multiply
    27,612.64x = 41,420 × 7,624.16
  4. Step 4: Simplify right side
    27,612.64x = 315,792,707.20
  5. Step 5: Solve for x
    x = 315,792,707.20/27,612.64
  6. Step 6: Final answer
    x = 11,436.53

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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.