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Finding the Fourth Proportional to 2,685.96, 4,027.46 and 836.57

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Solution

The fourth proportional to 2,685.96, 4,027.46 and 836.57 is: 1,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.96 : 4,027.46 = 836.57 : x
  2. Step 2: Convert to fraction form
    2,685.96/4,027.46 = 836.57/x
  3. Step 3: Cross multiply
    2,685.96x = 4,027.46 × 836.57
  4. Step 4: Simplify right side
    2,685.96x = 3,369,258.10
  5. Step 5: Solve for x
    x = 3,369,258.10/2,685.96
  6. Step 6: Final answer
    x = 1,254.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.