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Finding the Fourth Proportional to 1,399.71, 2,100.80 and 1,394.45

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Solution

The fourth proportional to 1,399.71, 2,100.80 and 1,394.45 is: 2,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.71 : 2,100.80 = 1,394.45 : x
  2. Step 2: Convert to fraction form
    1,399.71/2,100.80 = 1,394.45/x
  3. Step 3: Cross multiply
    1,399.71x = 2,100.80 × 1,394.45
  4. Step 4: Simplify right side
    1,399.71x = 2,929,461.42
  5. Step 5: Solve for x
    x = 2,929,461.42/1,399.71
  6. Step 6: Final answer
    x = 2,092.90

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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.