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Finding the Fourth Proportional to 38,709.60, 58,021.20 and 19,982.40

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Solution

The fourth proportional to 38,709.60, 58,021.20 and 19,982.40 is: 29,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.60 : 58,021.20 = 19,982.40 : x
  2. Step 2: Convert to fraction form
    38,709.60/58,021.20 = 19,982.40/x
  3. Step 3: Cross multiply
    38,709.60x = 58,021.20 × 19,982.40
  4. Step 4: Simplify right side
    38,709.60x = 1,159,402,826.88
  5. Step 5: Solve for x
    x = 1,159,402,826.88/38,709.60
  6. Step 6: Final answer
    x = 29,951.30

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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.