Home / 1,427.04-1,969.36-806.08

Finding the Fourth Proportional to 1,427.04, 1,969.36 and 806.08

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Solution

The fourth proportional to 1,427.04, 1,969.36 and 806.08 is: 1,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.04 : 1,969.36 = 806.08 : x
  2. Step 2: Convert to fraction form
    1,427.04/1,969.36 = 806.08/x
  3. Step 3: Cross multiply
    1,427.04x = 1,969.36 × 806.08
  4. Step 4: Simplify right side
    1,427.04x = 1,587,461.71
  5. Step 5: Solve for x
    x = 1,587,461.71/1,427.04
  6. Step 6: Final answer
    x = 1,112.42

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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.