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Finding the Fourth Proportional to 1,427.46, 1,970.03 and 896.43

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Solution

The fourth proportional to 1,427.46, 1,970.03 and 896.43 is: 1,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.46 : 1,970.03 = 896.43 : x
  2. Step 2: Convert to fraction form
    1,427.46/1,970.03 = 896.43/x
  3. Step 3: Cross multiply
    1,427.46x = 1,970.03 × 896.43
  4. Step 4: Simplify right side
    1,427.46x = 1,765,993.99
  5. Step 5: Solve for x
    x = 1,765,993.99/1,427.46
  6. Step 6: Final answer
    x = 1,237.16

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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.