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Finding the Fourth Proportional to 6,441.78, 8,889.12 and 5,971.62

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Solution

The fourth proportional to 6,441.78, 8,889.12 and 5,971.62 is: 8,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.78 : 8,889.12 = 5,971.62 : x
  2. Step 2: Convert to fraction form
    6,441.78/8,889.12 = 5,971.62/x
  3. Step 3: Cross multiply
    6,441.78x = 8,889.12 × 5,971.62
  4. Step 4: Simplify right side
    6,441.78x = 53,082,446.77
  5. Step 5: Solve for x
    x = 53,082,446.77/6,441.78
  6. Step 6: Final answer
    x = 8,240.34

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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.