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Finding the Fourth Proportional to 21,605.36, 32,408.03 and 6,815.77

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Solution

The fourth proportional to 21,605.36, 32,408.03 and 6,815.77 is: 10,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605.36 : 32,408.03 = 6,815.77 : x
  2. Step 2: Convert to fraction form
    21,605.36/32,408.03 = 6,815.77/x
  3. Step 3: Cross multiply
    21,605.36x = 32,408.03 × 6,815.77
  4. Step 4: Simplify right side
    21,605.36x = 220,885,614.65
  5. Step 5: Solve for x
    x = 220,885,614.65/21,605.36
  6. Step 6: Final answer
    x = 10,223.65

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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.