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Finding the Fourth Proportional to 21,942.58, 32,898.51 and 8,087.86

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Solution

The fourth proportional to 21,942.58, 32,898.51 and 8,087.86 is: 12,126.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942.58 : 32,898.51 = 8,087.86 : x
  2. Step 2: Convert to fraction form
    21,942.58/32,898.51 = 8,087.86/x
  3. Step 3: Cross multiply
    21,942.58x = 32,898.51 × 8,087.86
  4. Step 4: Simplify right side
    21,942.58x = 266,078,543.09
  5. Step 5: Solve for x
    x = 266,078,543.09/21,942.58
  6. Step 6: Final answer
    x = 12,126.13

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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.