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Finding the Fourth Proportional to 38,663.24, 57,978.45 and 13,709.57

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Solution

The fourth proportional to 38,663.24, 57,978.45 and 13,709.57 is: 20,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,663.24 : 57,978.45 = 13,709.57 : x
  2. Step 2: Convert to fraction form
    38,663.24/57,978.45 = 13,709.57/x
  3. Step 3: Cross multiply
    38,663.24x = 57,978.45 × 13,709.57
  4. Step 4: Simplify right side
    38,663.24x = 794,859,328.87
  5. Step 5: Solve for x
    x = 794,859,328.87/38,663.24
  6. Step 6: Final answer
    x = 20,558.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.