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Finding the Fourth Proportional to 6,761.79, 10,149.99 and 5,678.01

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Solution

The fourth proportional to 6,761.79, 10,149.99 and 5,678.01 is: 8,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.79 : 10,149.99 = 5,678.01 : x
  2. Step 2: Convert to fraction form
    6,761.79/10,149.99 = 5,678.01/x
  3. Step 3: Cross multiply
    6,761.79x = 10,149.99 × 5,678.01
  4. Step 4: Simplify right side
    6,761.79x = 57,631,744.72
  5. Step 5: Solve for x
    x = 57,631,744.72/6,761.79
  6. Step 6: Final answer
    x = 8,523.15

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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.