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Finding the Fourth Proportional to 1,311.85, 1,965.95 and 986.84

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Solution

The fourth proportional to 1,311.85, 1,965.95 and 986.84 is: 1,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.85 : 1,965.95 = 986.84 : x
  2. Step 2: Convert to fraction form
    1,311.85/1,965.95 = 986.84/x
  3. Step 3: Cross multiply
    1,311.85x = 1,965.95 × 986.84
  4. Step 4: Simplify right side
    1,311.85x = 1,940,078.10
  5. Step 5: Solve for x
    x = 1,940,078.10/1,311.85
  6. Step 6: Final answer
    x = 1,478.89

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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.