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Finding the Fourth Proportional to 27,320, 40,989.72 and 13,478.72

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Solution

The fourth proportional to 27,320, 40,989.72 and 13,478.72 is: 20,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,320 : 40,989.72 = 13,478.72 : x
  2. Step 2: Convert to fraction form
    27,320/40,989.72 = 13,478.72/x
  3. Step 3: Cross multiply
    27,320x = 40,989.72 × 13,478.72
  4. Step 4: Simplify right side
    27,320x = 552,488,958.76
  5. Step 5: Solve for x
    x = 552,488,958.76/27,320
  6. Step 6: Final answer
    x = 20,222.88

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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.