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Finding the Fourth Proportional to 4,843.76, 6,684.19 and 2,854.40

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Solution

The fourth proportional to 4,843.76, 6,684.19 and 2,854.40 is: 3,938.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.76 : 6,684.19 = 2,854.40 : x
  2. Step 2: Convert to fraction form
    4,843.76/6,684.19 = 2,854.40/x
  3. Step 3: Cross multiply
    4,843.76x = 6,684.19 × 2,854.40
  4. Step 4: Simplify right side
    4,843.76x = 19,079,311.38
  5. Step 5: Solve for x
    x = 19,079,311.38/4,843.76
  6. Step 6: Final answer
    x = 3,938.95

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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.