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Finding the Fourth Proportional to 6,443.60, 8,890.44 and 3,649.04

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Solution

The fourth proportional to 6,443.60, 8,890.44 and 3,649.04 is: 5,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.60 : 8,890.44 = 3,649.04 : x
  2. Step 2: Convert to fraction form
    6,443.60/8,890.44 = 3,649.04/x
  3. Step 3: Cross multiply
    6,443.60x = 8,890.44 × 3,649.04
  4. Step 4: Simplify right side
    6,443.60x = 32,441,571.18
  5. Step 5: Solve for x
    x = 32,441,571.18/6,443.60
  6. Step 6: Final answer
    x = 5,034.70

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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.