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Finding the Fourth Proportional to 6,770, 10,145.70 and 3,809.87

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Solution

The fourth proportional to 6,770, 10,145.70 and 3,809.87 is: 5,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770 : 10,145.70 = 3,809.87 : x
  2. Step 2: Convert to fraction form
    6,770/10,145.70 = 3,809.87/x
  3. Step 3: Cross multiply
    6,770x = 10,145.70 × 3,809.87
  4. Step 4: Simplify right side
    6,770x = 38,653,798.06
  5. Step 5: Solve for x
    x = 38,653,798.06/6,770
  6. Step 6: Final answer
    x = 5,709.57

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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.