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Finding the Fourth Proportional to 27,664, 38,163.16 and 18,714.64

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Solution

The fourth proportional to 27,664, 38,163.16 and 18,714.64 is: 25,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,664 : 38,163.16 = 18,714.64 : x
  2. Step 2: Convert to fraction form
    27,664/38,163.16 = 18,714.64/x
  3. Step 3: Cross multiply
    27,664x = 38,163.16 × 18,714.64
  4. Step 4: Simplify right side
    27,664x = 714,209,800.66
  5. Step 5: Solve for x
    x = 714,209,800.66/27,664
  6. Step 6: Final answer
    x = 25,817.30

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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.