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Finding the Fourth Proportional to 14,092, 21,145.77 and 7,855.52

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Solution

The fourth proportional to 14,092, 21,145.77 and 7,855.52 is: 11,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092 : 21,145.77 = 7,855.52 : x
  2. Step 2: Convert to fraction form
    14,092/21,145.77 = 7,855.52/x
  3. Step 3: Cross multiply
    14,092x = 21,145.77 × 7,855.52
  4. Step 4: Simplify right side
    14,092x = 166,111,019.15
  5. Step 5: Solve for x
    x = 166,111,019.15/14,092
  6. Step 6: Final answer
    x = 11,787.61

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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.