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Finding the Fourth Proportional to 3,946.01, 5,447.46 and 2,454.40

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Solution

The fourth proportional to 3,946.01, 5,447.46 and 2,454.40 is: 3,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.01 : 5,447.46 = 2,454.40 : x
  2. Step 2: Convert to fraction form
    3,946.01/5,447.46 = 2,454.40/x
  3. Step 3: Cross multiply
    3,946.01x = 5,447.46 × 2,454.40
  4. Step 4: Simplify right side
    3,946.01x = 13,370,248.03
  5. Step 5: Solve for x
    x = 13,370,248.03/3,946.01
  6. Step 6: Final answer
    x = 3,388.30

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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.