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Finding the Fourth Proportional to 4,649.47, 6,978.84 and 3,620.72

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Solution

The fourth proportional to 4,649.47, 6,978.84 and 3,620.72 is: 5,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.47 : 6,978.84 = 3,620.72 : x
  2. Step 2: Convert to fraction form
    4,649.47/6,978.84 = 3,620.72/x
  3. Step 3: Cross multiply
    4,649.47x = 6,978.84 × 3,620.72
  4. Step 4: Simplify right side
    4,649.47x = 25,268,439.29
  5. Step 5: Solve for x
    x = 25,268,439.29/4,649.47
  6. Step 6: Final answer
    x = 5,434.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.