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Finding the Fourth Proportional to 1,612.84, 2,417.17 and 1,403.73

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Solution

The fourth proportional to 1,612.84, 2,417.17 and 1,403.73 is: 2,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.84 : 2,417.17 = 1,403.73 : x
  2. Step 2: Convert to fraction form
    1,612.84/2,417.17 = 1,403.73/x
  3. Step 3: Cross multiply
    1,612.84x = 2,417.17 × 1,403.73
  4. Step 4: Simplify right side
    1,612.84x = 3,393,049.22
  5. Step 5: Solve for x
    x = 3,393,049.22/1,612.84
  6. Step 6: Final answer
    x = 2,103.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.