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Finding the Fourth Proportional to 2,981.22, 4,113.94 and 1,654.92

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Solution

The fourth proportional to 2,981.22, 4,113.94 and 1,654.92 is: 2,283.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.22 : 4,113.94 = 1,654.92 : x
  2. Step 2: Convert to fraction form
    2,981.22/4,113.94 = 1,654.92/x
  3. Step 3: Cross multiply
    2,981.22x = 4,113.94 × 1,654.92
  4. Step 4: Simplify right side
    2,981.22x = 6,808,241.58
  5. Step 5: Solve for x
    x = 6,808,241.58/2,981.22
  6. Step 6: Final answer
    x = 2,283.71

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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.