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Finding the Fourth Proportional to 20,265.78, 30,398.70 and 7,953.78

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Solution

The fourth proportional to 20,265.78, 30,398.70 and 7,953.78 is: 11,930.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,265.78 : 30,398.70 = 7,953.78 : x
  2. Step 2: Convert to fraction form
    20,265.78/30,398.70 = 7,953.78/x
  3. Step 3: Cross multiply
    20,265.78x = 30,398.70 × 7,953.78
  4. Step 4: Simplify right side
    20,265.78x = 241,784,572.09
  5. Step 5: Solve for x
    x = 241,784,572.09/20,265.78
  6. Step 6: Final answer
    x = 11,930.68

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1.5x scale

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.