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Finding the Fourth Proportional to 20,358.54, 30,537.81 and 9,963

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Solution

The fourth proportional to 20,358.54, 30,537.81 and 9,963 is: 14,944.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,358.54 : 30,537.81 = 9,963 : x
  2. Step 2: Convert to fraction form
    20,358.54/30,537.81 = 9,963/x
  3. Step 3: Cross multiply
    20,358.54x = 30,537.81 × 9,963
  4. Step 4: Simplify right side
    20,358.54x = 304,248,201.03
  5. Step 5: Solve for x
    x = 304,248,201.03/20,358.54
  6. Step 6: Final answer
    x = 14,944.50

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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.