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Finding the Fourth Proportional to 6,489.50, 9,734.43 and 1,872.50

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Solution

The fourth proportional to 6,489.50, 9,734.43 and 1,872.50 is: 2,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.50 : 9,734.43 = 1,872.50 : x
  2. Step 2: Convert to fraction form
    6,489.50/9,734.43 = 1,872.50/x
  3. Step 3: Cross multiply
    6,489.50x = 9,734.43 × 1,872.50
  4. Step 4: Simplify right side
    6,489.50x = 18,227,720.18
  5. Step 5: Solve for x
    x = 18,227,720.18/6,489.50
  6. Step 6: Final answer
    x = 2,808.80

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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.