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Finding the Fourth Proportional to 1,427.19, 1,969.37 and 881.39

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Solution

The fourth proportional to 1,427.19, 1,969.37 and 881.39 is: 1,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.19 : 1,969.37 = 881.39 : x
  2. Step 2: Convert to fraction form
    1,427.19/1,969.37 = 881.39/x
  3. Step 3: Cross multiply
    1,427.19x = 1,969.37 × 881.39
  4. Step 4: Simplify right side
    1,427.19x = 1,735,768.77
  5. Step 5: Solve for x
    x = 1,735,768.77/1,427.19
  6. Step 6: Final answer
    x = 1,216.21

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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.