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Finding the Fourth Proportional to 4,700.64, 6,486.24 and 2,811.68

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Solution

The fourth proportional to 4,700.64, 6,486.24 and 2,811.68 is: 3,879.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.64 : 6,486.24 = 2,811.68 : x
  2. Step 2: Convert to fraction form
    4,700.64/6,486.24 = 2,811.68/x
  3. Step 3: Cross multiply
    4,700.64x = 6,486.24 × 2,811.68
  4. Step 4: Simplify right side
    4,700.64x = 18,237,231.28
  5. Step 5: Solve for x
    x = 18,237,231.28/4,700.64
  6. Step 6: Final answer
    x = 3,879.73

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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.