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Finding the Fourth Proportional to 3,470.99, 5,206.43 and 838.47

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Solution

The fourth proportional to 3,470.99, 5,206.43 and 838.47 is: 1,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.99 : 5,206.43 = 838.47 : x
  2. Step 2: Convert to fraction form
    3,470.99/5,206.43 = 838.47/x
  3. Step 3: Cross multiply
    3,470.99x = 5,206.43 × 838.47
  4. Step 4: Simplify right side
    3,470.99x = 4,365,435.36
  5. Step 5: Solve for x
    x = 4,365,435.36/3,470.99
  6. Step 6: Final answer
    x = 1,257.69

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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.