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Finding the Fourth Proportional to 15,821.34, 23,735.61 and 8,421.90

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Solution

The fourth proportional to 15,821.34, 23,735.61 and 8,421.90 is: 12,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.34 : 23,735.61 = 8,421.90 : x
  2. Step 2: Convert to fraction form
    15,821.34/23,735.61 = 8,421.90/x
  3. Step 3: Cross multiply
    15,821.34x = 23,735.61 × 8,421.90
  4. Step 4: Simplify right side
    15,821.34x = 199,898,933.86
  5. Step 5: Solve for x
    x = 199,898,933.86/15,821.34
  6. Step 6: Final answer
    x = 12,634.77

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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.