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Finding the Fourth Proportional to 21,611.91, 32,417.87 and 6,821.98

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Solution

The fourth proportional to 21,611.91, 32,417.87 and 6,821.98 is: 10,232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,611.91 : 32,417.87 = 6,821.98 : x
  2. Step 2: Convert to fraction form
    21,611.91/32,417.87 = 6,821.98/x
  3. Step 3: Cross multiply
    21,611.91x = 32,417.87 × 6,821.98
  4. Step 4: Simplify right side
    21,611.91x = 221,154,060.78
  5. Step 5: Solve for x
    x = 221,154,060.78/21,611.91
  6. Step 6: Final answer
    x = 10,232.97

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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.