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Finding the Fourth Proportional to 5,164, 7,746 and 2,086

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Solution

The fourth proportional to 5,164, 7,746 and 2,086 is: 3,129

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164 : 7,746 = 2,086 : x
  2. Step 2: Convert to fraction form
    5,164/7,746 = 2,086/x
  3. Step 3: Cross multiply
    5,164x = 7,746 × 2,086
  4. Step 4: Simplify right side
    5,164x = 16,158,156
  5. Step 5: Solve for x
    x = 16,158,156/5,164
  6. Step 6: Final answer
    x = 3,129

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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.