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Finding the Fourth Proportional to 15,800, 23,704.39 and 6,913.74

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Solution

The fourth proportional to 15,800, 23,704.39 and 6,913.74 is: 10,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800 : 23,704.39 = 6,913.74 : x
  2. Step 2: Convert to fraction form
    15,800/23,704.39 = 6,913.74/x
  3. Step 3: Cross multiply
    15,800x = 23,704.39 × 6,913.74
  4. Step 4: Simplify right side
    15,800x = 163,885,912.77
  5. Step 5: Solve for x
    x = 163,885,912.77/15,800
  6. Step 6: Final answer
    x = 10,372.53

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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.