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Finding the Fourth Proportional to 5,048, 6,967.20 and 2,840

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Solution

The fourth proportional to 5,048, 6,967.20 and 2,840 is: 3,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048 : 6,967.20 = 2,840 : x
  2. Step 2: Convert to fraction form
    5,048/6,967.20 = 2,840/x
  3. Step 3: Cross multiply
    5,048x = 6,967.20 × 2,840
  4. Step 4: Simplify right side
    5,048x = 19,786,848
  5. Step 5: Solve for x
    x = 19,786,848/5,048
  6. Step 6: Final answer
    x = 3,919.74

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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.