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Finding the Fourth Proportional to 4,959.42, 6,848.58 and 3,194.10

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Solution

The fourth proportional to 4,959.42, 6,848.58 and 3,194.10 is: 4,410.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.42 : 6,848.58 = 3,194.10 : x
  2. Step 2: Convert to fraction form
    4,959.42/6,848.58 = 3,194.10/x
  3. Step 3: Cross multiply
    4,959.42x = 6,848.58 × 3,194.10
  4. Step 4: Simplify right side
    4,959.42x = 21,875,049.38
  5. Step 5: Solve for x
    x = 21,875,049.38/4,959.42
  6. Step 6: Final answer
    x = 4,410.81

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1.5x scale

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.