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Finding the Fourth Proportional to 5,119, 7,064.22 and 2,911

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Solution

The fourth proportional to 5,119, 7,064.22 and 2,911 is: 4,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119 : 7,064.22 = 2,911 : x
  2. Step 2: Convert to fraction form
    5,119/7,064.22 = 2,911/x
  3. Step 3: Cross multiply
    5,119x = 7,064.22 × 2,911
  4. Step 4: Simplify right side
    5,119x = 20,563,944.42
  5. Step 5: Solve for x
    x = 20,563,944.42/5,119
  6. Step 6: Final answer
    x = 4,017.18

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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.