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Finding the Fourth Proportional to 6,399.52, 8,823.12 and 4,299.04

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Solution

The fourth proportional to 6,399.52, 8,823.12 and 4,299.04 is: 5,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.52 : 8,823.12 = 4,299.04 : x
  2. Step 2: Convert to fraction form
    6,399.52/8,823.12 = 4,299.04/x
  3. Step 3: Cross multiply
    6,399.52x = 8,823.12 × 4,299.04
  4. Step 4: Simplify right side
    6,399.52x = 37,930,945.80
  5. Step 5: Solve for x
    x = 37,930,945.80/6,399.52
  6. Step 6: Final answer
    x = 5,927.15

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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.