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Finding the Fourth Proportional to 3,293.70, 4,941.30 and 985.14

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Solution

The fourth proportional to 3,293.70, 4,941.30 and 985.14 is: 1,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.70 : 4,941.30 = 985.14 : x
  2. Step 2: Convert to fraction form
    3,293.70/4,941.30 = 985.14/x
  3. Step 3: Cross multiply
    3,293.70x = 4,941.30 × 985.14
  4. Step 4: Simplify right side
    3,293.70x = 4,867,872.28
  5. Step 5: Solve for x
    x = 4,867,872.28/3,293.70
  6. Step 6: Final answer
    x = 1,477.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.