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Finding the Fourth Proportional to 6,430.50, 8,868 and 4,194.09

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Solution

The fourth proportional to 6,430.50, 8,868 and 4,194.09 is: 5,783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.50 : 8,868 = 4,194.09 : x
  2. Step 2: Convert to fraction form
    6,430.50/8,868 = 4,194.09/x
  3. Step 3: Cross multiply
    6,430.50x = 8,868 × 4,194.09
  4. Step 4: Simplify right side
    6,430.50x = 37,193,190.12
  5. Step 5: Solve for x
    x = 37,193,190.12/6,430.50
  6. Step 6: Final answer
    x = 5,783.87

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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.