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Finding the Fourth Proportional to 5,708.80, 7,878.24 and 3,351.68

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Solution

The fourth proportional to 5,708.80, 7,878.24 and 3,351.68 is: 4,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.80 : 7,878.24 = 3,351.68 : x
  2. Step 2: Convert to fraction form
    5,708.80/7,878.24 = 3,351.68/x
  3. Step 3: Cross multiply
    5,708.80x = 7,878.24 × 3,351.68
  4. Step 4: Simplify right side
    5,708.80x = 26,405,339.44
  5. Step 5: Solve for x
    x = 26,405,339.44/5,708.80
  6. Step 6: Final answer
    x = 4,625.37

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1.5x scale

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.