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Finding the Fourth Proportional to 20,229, 27,915.74 and 11,277.24

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Solution

The fourth proportional to 20,229, 27,915.74 and 11,277.24 is: 15,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229 : 27,915.74 = 11,277.24 : x
  2. Step 2: Convert to fraction form
    20,229/27,915.74 = 11,277.24/x
  3. Step 3: Cross multiply
    20,229x = 27,915.74 × 11,277.24
  4. Step 4: Simplify right side
    20,229x = 314,812,499.76
  5. Step 5: Solve for x
    x = 314,812,499.76/20,229
  6. Step 6: Final answer
    x = 15,562.44

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1.5x scale

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.