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Finding the Fourth Proportional to 3,484.80, 4,766.40 and 3,398.40

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Solution

The fourth proportional to 3,484.80, 4,766.40 and 3,398.40 is: 4,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.80 : 4,766.40 = 3,398.40 : x
  2. Step 2: Convert to fraction form
    3,484.80/4,766.40 = 3,398.40/x
  3. Step 3: Cross multiply
    3,484.80x = 4,766.40 × 3,398.40
  4. Step 4: Simplify right side
    3,484.80x = 16,198,133.76
  5. Step 5: Solve for x
    x = 16,198,133.76/3,484.80
  6. Step 6: Final answer
    x = 4,648.22

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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.