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Finding the Fourth Proportional to 1,394.76, 2,076.21 and 1,374

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Solution

The fourth proportional to 1,394.76, 2,076.21 and 1,374 is: 2,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.76 : 2,076.21 = 1,374 : x
  2. Step 2: Convert to fraction form
    1,394.76/2,076.21 = 1,374/x
  3. Step 3: Cross multiply
    1,394.76x = 2,076.21 × 1,374
  4. Step 4: Simplify right side
    1,394.76x = 2,852,712.54
  5. Step 5: Solve for x
    x = 2,852,712.54/1,394.76
  6. Step 6: Final answer
    x = 2,045.31

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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.