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Finding the Fourth Proportional to 5,853.50, 8,078.02 and 3,369.50

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Solution

The fourth proportional to 5,853.50, 8,078.02 and 3,369.50 is: 4,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.50 : 8,078.02 = 3,369.50 : x
  2. Step 2: Convert to fraction form
    5,853.50/8,078.02 = 3,369.50/x
  3. Step 3: Cross multiply
    5,853.50x = 8,078.02 × 3,369.50
  4. Step 4: Simplify right side
    5,853.50x = 27,218,888.39
  5. Step 5: Solve for x
    x = 27,218,888.39/5,853.50
  6. Step 6: Final answer
    x = 4,650.02

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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.