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Finding the Fourth Proportional to 7,874.23, 11,811.31 and 5,401.54

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Solution

The fourth proportional to 7,874.23, 11,811.31 and 5,401.54 is: 8,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.23 : 11,811.31 = 5,401.54 : x
  2. Step 2: Convert to fraction form
    7,874.23/11,811.31 = 5,401.54/x
  3. Step 3: Cross multiply
    7,874.23x = 11,811.31 × 5,401.54
  4. Step 4: Simplify right side
    7,874.23x = 63,799,263.42
  5. Step 5: Solve for x
    x = 63,799,263.42/7,874.23
  6. Step 6: Final answer
    x = 8,102.29

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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.