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Finding the Fourth Proportional to 21,160.94, 31,742.00 and 9,308.54

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Solution

The fourth proportional to 21,160.94, 31,742.00 and 9,308.54 is: 13,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,160.94 : 31,742.00 = 9,308.54 : x
  2. Step 2: Convert to fraction form
    21,160.94/31,742.00 = 9,308.54/x
  3. Step 3: Cross multiply
    21,160.94x = 31,742.00 × 9,308.54
  4. Step 4: Simplify right side
    21,160.94x = 295,471,471.43
  5. Step 5: Solve for x
    x = 295,471,471.43/21,160.94
  6. Step 6: Final answer
    x = 13,963.06

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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.