Home / 1,604.20-2,214.30-941.32

Finding the Fourth Proportional to 1,604.20, 2,214.30 and 941.32

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Solution

The fourth proportional to 1,604.20, 2,214.30 and 941.32 is: 1,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.20 : 2,214.30 = 941.32 : x
  2. Step 2: Convert to fraction form
    1,604.20/2,214.30 = 941.32/x
  3. Step 3: Cross multiply
    1,604.20x = 2,214.30 × 941.32
  4. Step 4: Simplify right side
    1,604.20x = 2,084,364.88
  5. Step 5: Solve for x
    x = 2,084,364.88/1,604.20
  6. Step 6: Final answer
    x = 1,299.32

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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.