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Finding the Fourth Proportional to 4,840, 6,679.44 and 3,184

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Solution

The fourth proportional to 4,840, 6,679.44 and 3,184 is: 4,394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840 : 6,679.44 = 3,184 : x
  2. Step 2: Convert to fraction form
    4,840/6,679.44 = 3,184/x
  3. Step 3: Cross multiply
    4,840x = 6,679.44 × 3,184
  4. Step 4: Simplify right side
    4,840x = 21,267,336.96
  5. Step 5: Solve for x
    x = 21,267,336.96/4,840
  6. Step 6: Final answer
    x = 4,394.08

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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.