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Finding the Fourth Proportional to 6,464.86, 8,919.18 and 4,228.02

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Solution

The fourth proportional to 6,464.86, 8,919.18 and 4,228.02 is: 5,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.86 : 8,919.18 = 4,228.02 : x
  2. Step 2: Convert to fraction form
    6,464.86/8,919.18 = 4,228.02/x
  3. Step 3: Cross multiply
    6,464.86x = 8,919.18 × 4,228.02
  4. Step 4: Simplify right side
    6,464.86x = 37,710,471.42
  5. Step 5: Solve for x
    x = 37,710,471.42/6,464.86
  6. Step 6: Final answer
    x = 5,833.15

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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.