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Finding the Fourth Proportional to 15,880, 23,817.64 and 4,194.04

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Solution

The fourth proportional to 15,880, 23,817.64 and 4,194.04 is: 6,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880 : 23,817.64 = 4,194.04 : x
  2. Step 2: Convert to fraction form
    15,880/23,817.64 = 4,194.04/x
  3. Step 3: Cross multiply
    15,880x = 23,817.64 × 4,194.04
  4. Step 4: Simplify right side
    15,880x = 99,892,134.87
  5. Step 5: Solve for x
    x = 99,892,134.87/15,880
  6. Step 6: Final answer
    x = 6,290.44

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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.