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Finding the Fourth Proportional to 3,085.42, 4,258.42 and 2,982.90

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Solution

The fourth proportional to 3,085.42, 4,258.42 and 2,982.90 is: 4,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.42 : 4,258.42 = 2,982.90 : x
  2. Step 2: Convert to fraction form
    3,085.42/4,258.42 = 2,982.90/x
  3. Step 3: Cross multiply
    3,085.42x = 4,258.42 × 2,982.90
  4. Step 4: Simplify right side
    3,085.42x = 12,702,441.02
  5. Step 5: Solve for x
    x = 12,702,441.02/3,085.42
  6. Step 6: Final answer
    x = 4,116.92

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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.