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Finding the Fourth Proportional to 21,200.93, 31,801.39 and 7,161

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Solution

The fourth proportional to 21,200.93, 31,801.39 and 7,161 is: 10,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.93 : 31,801.39 = 7,161 : x
  2. Step 2: Convert to fraction form
    21,200.93/31,801.39 = 7,161/x
  3. Step 3: Cross multiply
    21,200.93x = 31,801.39 × 7,161
  4. Step 4: Simplify right side
    21,200.93x = 227,729,753.79
  5. Step 5: Solve for x
    x = 227,729,753.79/21,200.93
  6. Step 6: Final answer
    x = 10,741.50

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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.