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Finding the Fourth Proportional to 21,670.42, 32,503.74 and 5,874.88

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Solution

The fourth proportional to 21,670.42, 32,503.74 and 5,874.88 is: 8,811.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,670.42 : 32,503.74 = 5,874.88 : x
  2. Step 2: Convert to fraction form
    21,670.42/32,503.74 = 5,874.88/x
  3. Step 3: Cross multiply
    21,670.42x = 32,503.74 × 5,874.88
  4. Step 4: Simplify right side
    21,670.42x = 190,955,572.05
  5. Step 5: Solve for x
    x = 190,955,572.05/21,670.42
  6. Step 6: Final answer
    x = 8,811.81

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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.