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Finding the Fourth Proportional to 1,406.80, 2,100.04 and 1,234

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Solution

The fourth proportional to 1,406.80, 2,100.04 and 1,234 is: 1,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.80 : 2,100.04 = 1,234 : x
  2. Step 2: Convert to fraction form
    1,406.80/2,100.04 = 1,234/x
  3. Step 3: Cross multiply
    1,406.80x = 2,100.04 × 1,234
  4. Step 4: Simplify right side
    1,406.80x = 2,591,449.36
  5. Step 5: Solve for x
    x = 2,591,449.36/1,406.80
  6. Step 6: Final answer
    x = 1,842.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.