Home / 1,427.84-1,965.76-1,220.48

Finding the Fourth Proportional to 1,427.84, 1,965.76 and 1,220.48

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Solution

The fourth proportional to 1,427.84, 1,965.76 and 1,220.48 is: 1,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.84 : 1,965.76 = 1,220.48 : x
  2. Step 2: Convert to fraction form
    1,427.84/1,965.76 = 1,220.48/x
  3. Step 3: Cross multiply
    1,427.84x = 1,965.76 × 1,220.48
  4. Step 4: Simplify right side
    1,427.84x = 2,399,170.76
  5. Step 5: Solve for x
    x = 2,399,170.76/1,427.84
  6. Step 6: Final answer
    x = 1,680.28

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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.