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Finding the Fourth Proportional to 5,008, 6,911.36 and 2,800

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Solution

The fourth proportional to 5,008, 6,911.36 and 2,800 is: 3,864.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,008 : 6,911.36 = 2,800 : x
  2. Step 2: Convert to fraction form
    5,008/6,911.36 = 2,800/x
  3. Step 3: Cross multiply
    5,008x = 6,911.36 × 2,800
  4. Step 4: Simplify right side
    5,008x = 19,351,808
  5. Step 5: Solve for x
    x = 19,351,808/5,008
  6. Step 6: Final answer
    x = 3,864.18

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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.