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Finding the Fourth Proportional to 21,379, 32,063.08 and 6,584.08

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Solution

The fourth proportional to 21,379, 32,063.08 and 6,584.08 is: 9,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,379 : 32,063.08 = 6,584.08 : x
  2. Step 2: Convert to fraction form
    21,379/32,063.08 = 6,584.08/x
  3. Step 3: Cross multiply
    21,379x = 32,063.08 × 6,584.08
  4. Step 4: Simplify right side
    21,379x = 211,105,883.77
  5. Step 5: Solve for x
    x = 211,105,883.77/21,379
  6. Step 6: Final answer
    x = 9,874.45

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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.