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Finding the Fourth Proportional to 38,784, 53,521.89 and 22,017

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Solution

The fourth proportional to 38,784, 53,521.89 and 22,017 is: 30,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,784 : 53,521.89 = 22,017 : x
  2. Step 2: Convert to fraction form
    38,784/53,521.89 = 22,017/x
  3. Step 3: Cross multiply
    38,784x = 53,521.89 × 22,017
  4. Step 4: Simplify right side
    38,784x = 1,178,391,452.13
  5. Step 5: Solve for x
    x = 1,178,391,452.13/38,784
  6. Step 6: Final answer
    x = 30,383.44

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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.