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Finding the Fourth Proportional to 5,941.72, 8,912.22 and 1,781.74

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Solution

The fourth proportional to 5,941.72, 8,912.22 and 1,781.74 is: 2,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941.72 : 8,912.22 = 1,781.74 : x
  2. Step 2: Convert to fraction form
    5,941.72/8,912.22 = 1,781.74/x
  3. Step 3: Cross multiply
    5,941.72x = 8,912.22 × 1,781.74
  4. Step 4: Simplify right side
    5,941.72x = 15,879,258.86
  5. Step 5: Solve for x
    x = 15,879,258.86/5,941.72
  6. Step 6: Final answer
    x = 2,672.50

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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.