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Finding the Fourth Proportional to 6,464.30, 8,920.73 and 3,669.80

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Solution

The fourth proportional to 6,464.30, 8,920.73 and 3,669.80 is: 5,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.30 : 8,920.73 = 3,669.80 : x
  2. Step 2: Convert to fraction form
    6,464.30/8,920.73 = 3,669.80/x
  3. Step 3: Cross multiply
    6,464.30x = 8,920.73 × 3,669.80
  4. Step 4: Simplify right side
    6,464.30x = 32,737,326.43
  5. Step 5: Solve for x
    x = 32,737,326.43/6,464.30
  6. Step 6: Final answer
    x = 5,064.32

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1.5x scale

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.