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Finding the Fourth Proportional to 6,380.64, 8,805.47 and 3,509.22

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Solution

The fourth proportional to 6,380.64, 8,805.47 and 3,509.22 is: 4,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.64 : 8,805.47 = 3,509.22 : x
  2. Step 2: Convert to fraction form
    6,380.64/8,805.47 = 3,509.22/x
  3. Step 3: Cross multiply
    6,380.64x = 8,805.47 × 3,509.22
  4. Step 4: Simplify right side
    6,380.64x = 30,900,287.41
  5. Step 5: Solve for x
    x = 30,900,287.41/6,380.64
  6. Step 6: Final answer
    x = 4,842.82

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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.