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Finding the Fourth Proportional to 21,615.48, 32,423.22 and 12,375

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Solution

The fourth proportional to 21,615.48, 32,423.22 and 12,375 is: 18,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.48 : 32,423.22 = 12,375 : x
  2. Step 2: Convert to fraction form
    21,615.48/32,423.22 = 12,375/x
  3. Step 3: Cross multiply
    21,615.48x = 32,423.22 × 12,375
  4. Step 4: Simplify right side
    21,615.48x = 401,237,347.50
  5. Step 5: Solve for x
    x = 401,237,347.50/21,615.48
  6. Step 6: Final answer
    x = 18,562.50

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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.