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Finding the Fourth Proportional to 3,188.38, 4,782.78 and 848.35

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Solution

The fourth proportional to 3,188.38, 4,782.78 and 848.35 is: 1,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.38 : 4,782.78 = 848.35 : x
  2. Step 2: Convert to fraction form
    3,188.38/4,782.78 = 848.35/x
  3. Step 3: Cross multiply
    3,188.38x = 4,782.78 × 848.35
  4. Step 4: Simplify right side
    3,188.38x = 4,057,471.41
  5. Step 5: Solve for x
    x = 4,057,471.41/3,188.38
  6. Step 6: Final answer
    x = 1,272.58

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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.