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Finding the Fourth Proportional to 10,489.76, 15,734.55 and 4,249.67

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Solution

The fourth proportional to 10,489.76, 15,734.55 and 4,249.67 is: 6,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.76 : 15,734.55 = 4,249.67 : x
  2. Step 2: Convert to fraction form
    10,489.76/15,734.55 = 4,249.67/x
  3. Step 3: Cross multiply
    10,489.76x = 15,734.55 × 4,249.67
  4. Step 4: Simplify right side
    10,489.76x = 66,866,566.43
  5. Step 5: Solve for x
    x = 66,866,566.43/10,489.76
  6. Step 6: Final answer
    x = 6,374.46

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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.