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Finding the Fourth Proportional to 38,680.64, 53,388.96 and 23,768

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Solution

The fourth proportional to 38,680.64, 53,388.96 and 23,768 is: 32,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,680.64 : 53,388.96 = 23,768 : x
  2. Step 2: Convert to fraction form
    38,680.64/53,388.96 = 23,768/x
  3. Step 3: Cross multiply
    38,680.64x = 53,388.96 × 23,768
  4. Step 4: Simplify right side
    38,680.64x = 1,268,948,801.28
  5. Step 5: Solve for x
    x = 1,268,948,801.28/38,680.64
  6. Step 6: Final answer
    x = 32,805.79

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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.