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Finding the Fourth Proportional to 3,398.75, 4,689.47 and 1,981.58

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Solution

The fourth proportional to 3,398.75, 4,689.47 and 1,981.58 is: 2,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.75 : 4,689.47 = 1,981.58 : x
  2. Step 2: Convert to fraction form
    3,398.75/4,689.47 = 1,981.58/x
  3. Step 3: Cross multiply
    3,398.75x = 4,689.47 × 1,981.58
  4. Step 4: Simplify right side
    3,398.75x = 9,292,550.05
  5. Step 5: Solve for x
    x = 9,292,550.05/3,398.75
  6. Step 6: Final answer
    x = 2,734.11

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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.