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Finding the Fourth Proportional to 3,407, 4,698.20 and 3,208.58

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Solution

The fourth proportional to 3,407, 4,698.20 and 3,208.58 is: 4,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407 : 4,698.20 = 3,208.58 : x
  2. Step 2: Convert to fraction form
    3,407/4,698.20 = 3,208.58/x
  3. Step 3: Cross multiply
    3,407x = 4,698.20 × 3,208.58
  4. Step 4: Simplify right side
    3,407x = 15,074,550.56
  5. Step 5: Solve for x
    x = 15,074,550.56/3,407
  6. Step 6: Final answer
    x = 4,424.58

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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.