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Finding the Fourth Proportional to 1,412.33, 2,120.07 and 828.02

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Solution

The fourth proportional to 1,412.33, 2,120.07 and 828.02 is: 1,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.33 : 2,120.07 = 828.02 : x
  2. Step 2: Convert to fraction form
    1,412.33/2,120.07 = 828.02/x
  3. Step 3: Cross multiply
    1,412.33x = 2,120.07 × 828.02
  4. Step 4: Simplify right side
    1,412.33x = 1,755,460.36
  5. Step 5: Solve for x
    x = 1,755,460.36/1,412.33
  6. Step 6: Final answer
    x = 1,242.95

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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.