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Finding the Fourth Proportional to 1,364.20, 1,914.20 and 1,364.20

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Solution

The fourth proportional to 1,364.20, 1,914.20 and 1,364.20 is: 1,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.20 : 1,914.20 = 1,364.20 : x
  2. Step 2: Convert to fraction form
    1,364.20/1,914.20 = 1,364.20/x
  3. Step 3: Cross multiply
    1,364.20x = 1,914.20 × 1,364.20
  4. Step 4: Simplify right side
    1,364.20x = 2,611,351.64
  5. Step 5: Solve for x
    x = 2,611,351.64/1,364.20
  6. Step 6: Final answer
    x = 1,914.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.