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Finding the Fourth Proportional to 10,489.50, 15,734.25 and 4,333.66

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Solution

The fourth proportional to 10,489.50, 15,734.25 and 4,333.66 is: 6,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.50 : 15,734.25 = 4,333.66 : x
  2. Step 2: Convert to fraction form
    10,489.50/15,734.25 = 4,333.66/x
  3. Step 3: Cross multiply
    10,489.50x = 15,734.25 × 4,333.66
  4. Step 4: Simplify right side
    10,489.50x = 68,186,889.86
  5. Step 5: Solve for x
    x = 68,186,889.86/10,489.50
  6. Step 6: Final answer
    x = 6,500.49

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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.