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Finding the Fourth Proportional to 21,697.15, 32,545.73 and 7,842.91

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Solution

The fourth proportional to 21,697.15, 32,545.73 and 7,842.91 is: 11,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.15 : 32,545.73 = 7,842.91 : x
  2. Step 2: Convert to fraction form
    21,697.15/32,545.73 = 7,842.91/x
  3. Step 3: Cross multiply
    21,697.15x = 32,545.73 × 7,842.91
  4. Step 4: Simplify right side
    21,697.15x = 255,253,231.27
  5. Step 5: Solve for x
    x = 255,253,231.27/21,697.15
  6. Step 6: Final answer
    x = 11,764.37

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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.