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Finding the Fourth Proportional to 1,814.70, 2,505.70 and 1,394.39

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Solution

The fourth proportional to 1,814.70, 2,505.70 and 1,394.39 is: 1,925.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.70 : 2,505.70 = 1,394.39 : x
  2. Step 2: Convert to fraction form
    1,814.70/2,505.70 = 1,394.39/x
  3. Step 3: Cross multiply
    1,814.70x = 2,505.70 × 1,394.39
  4. Step 4: Simplify right side
    1,814.70x = 3,493,923.02
  5. Step 5: Solve for x
    x = 3,493,923.02/1,814.70
  6. Step 6: Final answer
    x = 1,925.34

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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.