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Finding the Fourth Proportional to 38,644, 53,329.36 and 20,980

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Solution

The fourth proportional to 38,644, 53,329.36 and 20,980 is: 28,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644 : 53,329.36 = 20,980 : x
  2. Step 2: Convert to fraction form
    38,644/53,329.36 = 20,980/x
  3. Step 3: Cross multiply
    38,644x = 53,329.36 × 20,980
  4. Step 4: Simplify right side
    38,644x = 1,118,849,972.80
  5. Step 5: Solve for x
    x = 1,118,849,972.80/38,644
  6. Step 6: Final answer
    x = 28,952.75

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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.