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Finding the Fourth Proportional to 6,489, 9,740.43 and 2,793.06

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Solution

The fourth proportional to 6,489, 9,740.43 and 2,793.06 is: 4,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489 : 9,740.43 = 2,793.06 : x
  2. Step 2: Convert to fraction form
    6,489/9,740.43 = 2,793.06/x
  3. Step 3: Cross multiply
    6,489x = 9,740.43 × 2,793.06
  4. Step 4: Simplify right side
    6,489x = 27,205,605.42
  5. Step 5: Solve for x
    x = 27,205,605.42/6,489
  6. Step 6: Final answer
    x = 4,192.57

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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.