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Finding the Fourth Proportional to 21,008.25, 31,517.78 and 7,157.25

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Solution

The fourth proportional to 21,008.25, 31,517.78 and 7,157.25 is: 10,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.25 : 31,517.78 = 7,157.25 : x
  2. Step 2: Convert to fraction form
    21,008.25/31,517.78 = 7,157.25/x
  3. Step 3: Cross multiply
    21,008.25x = 31,517.78 × 7,157.25
  4. Step 4: Simplify right side
    21,008.25x = 225,580,595.12
  5. Step 5: Solve for x
    x = 225,580,595.12/21,008.25
  6. Step 6: Final answer
    x = 10,737.71

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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.