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Finding the Fourth Proportional to 6,399.70, 8,829.74 and 4,164.86

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Solution

The fourth proportional to 6,399.70, 8,829.74 and 4,164.86 is: 5,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.70 : 8,829.74 = 4,164.86 : x
  2. Step 2: Convert to fraction form
    6,399.70/8,829.74 = 4,164.86/x
  3. Step 3: Cross multiply
    6,399.70x = 8,829.74 × 4,164.86
  4. Step 4: Simplify right side
    6,399.70x = 36,774,630.94
  5. Step 5: Solve for x
    x = 36,774,630.94/6,399.70
  6. Step 6: Final answer
    x = 5,746.31

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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.