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Finding the Fourth Proportional to 1,385.63, 2,076.01 and 1,234.97

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Solution

The fourth proportional to 1,385.63, 2,076.01 and 1,234.97 is: 1,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.63 : 2,076.01 = 1,234.97 : x
  2. Step 2: Convert to fraction form
    1,385.63/2,076.01 = 1,234.97/x
  3. Step 3: Cross multiply
    1,385.63x = 2,076.01 × 1,234.97
  4. Step 4: Simplify right side
    1,385.63x = 2,563,810.07
  5. Step 5: Solve for x
    x = 2,563,810.07/1,385.63
  6. Step 6: Final answer
    x = 1,850.28

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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.