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Finding the Fourth Proportional to 1,347.56, 1,857.09 and 1,052.31

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Solution

The fourth proportional to 1,347.56, 1,857.09 and 1,052.31 is: 1,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.56 : 1,857.09 = 1,052.31 : x
  2. Step 2: Convert to fraction form
    1,347.56/1,857.09 = 1,052.31/x
  3. Step 3: Cross multiply
    1,347.56x = 1,857.09 × 1,052.31
  4. Step 4: Simplify right side
    1,347.56x = 1,954,234.38
  5. Step 5: Solve for x
    x = 1,954,234.38/1,347.56
  6. Step 6: Final answer
    x = 1,450.20

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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.