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Finding the Fourth Proportional to 6,441.64, 8,889.20 and 3,647.14

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Solution

The fourth proportional to 6,441.64, 8,889.20 and 3,647.14 is: 5,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.64 : 8,889.20 = 3,647.14 : x
  2. Step 2: Convert to fraction form
    6,441.64/8,889.20 = 3,647.14/x
  3. Step 3: Cross multiply
    6,441.64x = 8,889.20 × 3,647.14
  4. Step 4: Simplify right side
    6,441.64x = 32,420,156.89
  5. Step 5: Solve for x
    x = 32,420,156.89/6,441.64
  6. Step 6: Final answer
    x = 5,032.90

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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.