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Finding the Fourth Proportional to 21,706.87, 32,561.57 and 8,379.93

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Solution

The fourth proportional to 21,706.87, 32,561.57 and 8,379.93 is: 12,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.87 : 32,561.57 = 8,379.93 : x
  2. Step 2: Convert to fraction form
    21,706.87/32,561.57 = 8,379.93/x
  3. Step 3: Cross multiply
    21,706.87x = 32,561.57 × 8,379.93
  4. Step 4: Simplify right side
    21,706.87x = 272,863,635.39
  5. Step 5: Solve for x
    x = 272,863,635.39/21,706.87
  6. Step 6: Final answer
    x = 12,570.38

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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.