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Finding the Fourth Proportional to 5,709.06, 7,878.15 and 3,351

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Solution

The fourth proportional to 5,709.06, 7,878.15 and 3,351 is: 4,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.06 : 7,878.15 = 3,351 : x
  2. Step 2: Convert to fraction form
    5,709.06/7,878.15 = 3,351/x
  3. Step 3: Cross multiply
    5,709.06x = 7,878.15 × 3,351
  4. Step 4: Simplify right side
    5,709.06x = 26,399,680.65
  5. Step 5: Solve for x
    x = 26,399,680.65/5,709.06
  6. Step 6: Final answer
    x = 4,624.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.