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Finding the Fourth Proportional to 1,422.42, 1,963.62 and 1,107.06

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Solution

The fourth proportional to 1,422.42, 1,963.62 and 1,107.06 is: 1,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.42 : 1,963.62 = 1,107.06 : x
  2. Step 2: Convert to fraction form
    1,422.42/1,963.62 = 1,107.06/x
  3. Step 3: Cross multiply
    1,422.42x = 1,963.62 × 1,107.06
  4. Step 4: Simplify right side
    1,422.42x = 2,173,845.16
  5. Step 5: Solve for x
    x = 2,173,845.16/1,422.42
  6. Step 6: Final answer
    x = 1,528.27

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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.