Home / 1,311.35-1,965.20-986.34

Finding the Fourth Proportional to 1,311.35, 1,965.20 and 986.34

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Solution

The fourth proportional to 1,311.35, 1,965.20 and 986.34 is: 1,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.35 : 1,965.20 = 986.34 : x
  2. Step 2: Convert to fraction form
    1,311.35/1,965.20 = 986.34/x
  3. Step 3: Cross multiply
    1,311.35x = 1,965.20 × 986.34
  4. Step 4: Simplify right side
    1,311.35x = 1,938,355.37
  5. Step 5: Solve for x
    x = 1,938,355.37/1,311.35
  6. Step 6: Final answer
    x = 1,478.14

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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.