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Finding the Fourth Proportional to 6,482.68, 8,944.52 and 3,649.50

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Solution

The fourth proportional to 6,482.68, 8,944.52 and 3,649.50 is: 5,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.68 : 8,944.52 = 3,649.50 : x
  2. Step 2: Convert to fraction form
    6,482.68/8,944.52 = 3,649.50/x
  3. Step 3: Cross multiply
    6,482.68x = 8,944.52 × 3,649.50
  4. Step 4: Simplify right side
    6,482.68x = 32,643,007.49
  5. Step 5: Solve for x
    x = 32,643,007.49/6,482.68
  6. Step 6: Final answer
    x = 5,035.42

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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.