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Finding the Fourth Proportional to 27,720, 41,580 and 9,253.44

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Solution

The fourth proportional to 27,720, 41,580 and 9,253.44 is: 13,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 41,580 = 9,253.44 : x
  2. Step 2: Convert to fraction form
    27,720/41,580 = 9,253.44/x
  3. Step 3: Cross multiply
    27,720x = 41,580 × 9,253.44
  4. Step 4: Simplify right side
    27,720x = 384,758,035.20
  5. Step 5: Solve for x
    x = 384,758,035.20/27,720
  6. Step 6: Final answer
    x = 13,880.16

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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.