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Finding the Fourth Proportional to 6,384.44, 8,807 and 3,867.32

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Solution

The fourth proportional to 6,384.44, 8,807 and 3,867.32 is: 5,334.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.44 : 8,807 = 3,867.32 : x
  2. Step 2: Convert to fraction form
    6,384.44/8,807 = 3,867.32/x
  3. Step 3: Cross multiply
    6,384.44x = 8,807 × 3,867.32
  4. Step 4: Simplify right side
    6,384.44x = 34,059,487.24
  5. Step 5: Solve for x
    x = 34,059,487.24/6,384.44
  6. Step 6: Final answer
    x = 5,334.77

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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.