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Finding the Fourth Proportional to 21,584.48, 32,363.35 and 8,421.47

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Solution

The fourth proportional to 21,584.48, 32,363.35 and 8,421.47 is: 12,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.48 : 32,363.35 = 8,421.47 : x
  2. Step 2: Convert to fraction form
    21,584.48/32,363.35 = 8,421.47/x
  3. Step 3: Cross multiply
    21,584.48x = 32,363.35 × 8,421.47
  4. Step 4: Simplify right side
    21,584.48x = 272,546,919.62
  5. Step 5: Solve for x
    x = 272,546,919.62/21,584.48
  6. Step 6: Final answer
    x = 12,626.99

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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.