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Finding the Fourth Proportional to 38,796, 53,540.64 and 22,889.76

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Solution

The fourth proportional to 38,796, 53,540.64 and 22,889.76 is: 31,589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,796 : 53,540.64 = 22,889.76 : x
  2. Step 2: Convert to fraction form
    38,796/53,540.64 = 22,889.76/x
  3. Step 3: Cross multiply
    38,796x = 53,540.64 × 22,889.76
  4. Step 4: Simplify right side
    38,796x = 1,225,532,399.85
  5. Step 5: Solve for x
    x = 1,225,532,399.85/38,796
  6. Step 6: Final answer
    x = 31,589.14

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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.