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Finding the Fourth Proportional to 6,399, 8,825.76 and 4,412.88

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Solution

The fourth proportional to 6,399, 8,825.76 and 4,412.88 is: 6,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399 : 8,825.76 = 4,412.88 : x
  2. Step 2: Convert to fraction form
    6,399/8,825.76 = 4,412.88/x
  3. Step 3: Cross multiply
    6,399x = 8,825.76 × 4,412.88
  4. Step 4: Simplify right side
    6,399x = 38,947,019.79
  5. Step 5: Solve for x
    x = 38,947,019.79/6,399
  6. Step 6: Final answer
    x = 6,086.42

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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.