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Finding the Fourth Proportional to 20,216.32, 27,898.88 and 11,264

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Solution

The fourth proportional to 20,216.32, 27,898.88 and 11,264 is: 15,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,216.32 : 27,898.88 = 11,264 : x
  2. Step 2: Convert to fraction form
    20,216.32/27,898.88 = 11,264/x
  3. Step 3: Cross multiply
    20,216.32x = 27,898.88 × 11,264
  4. Step 4: Simplify right side
    20,216.32x = 314,252,984.32
  5. Step 5: Solve for x
    x = 314,252,984.32/20,216.32
  6. Step 6: Final answer
    x = 15,544.52

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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.