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Finding the Fourth Proportional to 38,648, 53,335.32 and 21,882.08

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Solution

The fourth proportional to 38,648, 53,335.32 and 21,882.08 is: 30,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648 : 53,335.32 = 21,882.08 : x
  2. Step 2: Convert to fraction form
    38,648/53,335.32 = 21,882.08/x
  3. Step 3: Cross multiply
    38,648x = 53,335.32 × 21,882.08
  4. Step 4: Simplify right side
    38,648x = 1,167,087,739.07
  5. Step 5: Solve for x
    x = 1,167,087,739.07/38,648
  6. Step 6: Final answer
    x = 30,197.88

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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.