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Finding the Fourth Proportional to 3,042.84, 4,191.84 and 2,894.61

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Solution

The fourth proportional to 3,042.84, 4,191.84 and 2,894.61 is: 3,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.84 : 4,191.84 = 2,894.61 : x
  2. Step 2: Convert to fraction form
    3,042.84/4,191.84 = 2,894.61/x
  3. Step 3: Cross multiply
    3,042.84x = 4,191.84 × 2,894.61
  4. Step 4: Simplify right side
    3,042.84x = 12,133,741.98
  5. Step 5: Solve for x
    x = 12,133,741.98/3,042.84
  6. Step 6: Final answer
    x = 3,987.64

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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.