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Finding the Fourth Proportional to 3,400, 4,699.86 and 2,837.20

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Solution

The fourth proportional to 3,400, 4,699.86 and 2,837.20 is: 3,921.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400 : 4,699.86 = 2,837.20 : x
  2. Step 2: Convert to fraction form
    3,400/4,699.86 = 2,837.20/x
  3. Step 3: Cross multiply
    3,400x = 4,699.86 × 2,837.20
  4. Step 4: Simplify right side
    3,400x = 13,334,442.79
  5. Step 5: Solve for x
    x = 13,334,442.79/3,400
  6. Step 6: Final answer
    x = 3,921.89

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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.