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Finding the Fourth Proportional to 3,477.79, 4,764.98 and 3,429.19

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Solution

The fourth proportional to 3,477.79, 4,764.98 and 3,429.19 is: 4,698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.79 : 4,764.98 = 3,429.19 : x
  2. Step 2: Convert to fraction form
    3,477.79/4,764.98 = 3,429.19/x
  3. Step 3: Cross multiply
    3,477.79x = 4,764.98 × 3,429.19
  4. Step 4: Simplify right side
    3,477.79x = 16,340,021.77
  5. Step 5: Solve for x
    x = 16,340,021.77/3,477.79
  6. Step 6: Final answer
    x = 4,698.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.