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Finding the Fourth Proportional to 6,384.96, 8,813.28 and 4,400.64

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Solution

The fourth proportional to 6,384.96, 8,813.28 and 4,400.64 is: 6,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.96 : 8,813.28 = 4,400.64 : x
  2. Step 2: Convert to fraction form
    6,384.96/8,813.28 = 4,400.64/x
  3. Step 3: Cross multiply
    6,384.96x = 8,813.28 × 4,400.64
  4. Step 4: Simplify right side
    6,384.96x = 38,784,072.50
  5. Step 5: Solve for x
    x = 38,784,072.50/6,384.96
  6. Step 6: Final answer
    x = 6,074.29

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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.