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Finding the Fourth Proportional to 6,441.48, 8,889 and 3,647.04

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Solution

The fourth proportional to 6,441.48, 8,889 and 3,647.04 is: 5,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.48 : 8,889 = 3,647.04 : x
  2. Step 2: Convert to fraction form
    6,441.48/8,889 = 3,647.04/x
  3. Step 3: Cross multiply
    6,441.48x = 8,889 × 3,647.04
  4. Step 4: Simplify right side
    6,441.48x = 32,418,538.56
  5. Step 5: Solve for x
    x = 32,418,538.56/6,441.48
  6. Step 6: Final answer
    x = 5,032.78

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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.