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Finding the Fourth Proportional to 1,422.08, 1,962.36 and 824.60

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Solution

The fourth proportional to 1,422.08, 1,962.36 and 824.60 is: 1,137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.08 : 1,962.36 = 824.60 : x
  2. Step 2: Convert to fraction form
    1,422.08/1,962.36 = 824.60/x
  3. Step 3: Cross multiply
    1,422.08x = 1,962.36 × 824.60
  4. Step 4: Simplify right side
    1,422.08x = 1,618,162.06
  5. Step 5: Solve for x
    x = 1,618,162.06/1,422.08
  6. Step 6: Final answer
    x = 1,137.88

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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.