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Finding the Fourth Proportional to 5,144, 7,716.36 and 2,066

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Solution

The fourth proportional to 5,144, 7,716.36 and 2,066 is: 3,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144 : 7,716.36 = 2,066 : x
  2. Step 2: Convert to fraction form
    5,144/7,716.36 = 2,066/x
  3. Step 3: Cross multiply
    5,144x = 7,716.36 × 2,066
  4. Step 4: Simplify right side
    5,144x = 15,941,999.76
  5. Step 5: Solve for x
    x = 15,941,999.76/5,144
  6. Step 6: Final answer
    x = 3,099.14

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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.