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Finding the Fourth Proportional to 21,737.09, 32,611.80 and 6,947.16

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Solution

The fourth proportional to 21,737.09, 32,611.80 and 6,947.16 is: 10,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737.09 : 32,611.80 = 6,947.16 : x
  2. Step 2: Convert to fraction form
    21,737.09/32,611.80 = 6,947.16/x
  3. Step 3: Cross multiply
    21,737.09x = 32,611.80 × 6,947.16
  4. Step 4: Simplify right side
    21,737.09x = 226,559,392.49
  5. Step 5: Solve for x
    x = 226,559,392.49/21,737.09
  6. Step 6: Final answer
    x = 10,422.71

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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.