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Finding the Fourth Proportional to 39,228, 54,134.64 and 21,564

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Solution

The fourth proportional to 39,228, 54,134.64 and 21,564 is: 29,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228 : 54,134.64 = 21,564 : x
  2. Step 2: Convert to fraction form
    39,228/54,134.64 = 21,564/x
  3. Step 3: Cross multiply
    39,228x = 54,134.64 × 21,564
  4. Step 4: Simplify right side
    39,228x = 1,167,359,376.96
  5. Step 5: Solve for x
    x = 1,167,359,376.96/39,228
  6. Step 6: Final answer
    x = 29,758.32

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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.