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Finding the Fourth Proportional to 4,164, 6,245.38 and 1,390.66

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Solution

The fourth proportional to 4,164, 6,245.38 and 1,390.66 is: 2,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164 : 6,245.38 = 1,390.66 : x
  2. Step 2: Convert to fraction form
    4,164/6,245.38 = 1,390.66/x
  3. Step 3: Cross multiply
    4,164x = 6,245.38 × 1,390.66
  4. Step 4: Simplify right side
    4,164x = 8,685,200.15
  5. Step 5: Solve for x
    x = 8,685,200.15/4,164
  6. Step 6: Final answer
    x = 2,085.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.