Home / 1,427.65-1,966.49-1,007.26

Finding the Fourth Proportional to 1,427.65, 1,966.49 and 1,007.26

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Solution

The fourth proportional to 1,427.65, 1,966.49 and 1,007.26 is: 1,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.65 : 1,966.49 = 1,007.26 : x
  2. Step 2: Convert to fraction form
    1,427.65/1,966.49 = 1,007.26/x
  3. Step 3: Cross multiply
    1,427.65x = 1,966.49 × 1,007.26
  4. Step 4: Simplify right side
    1,427.65x = 1,980,766.72
  5. Step 5: Solve for x
    x = 1,980,766.72/1,427.65
  6. Step 6: Final answer
    x = 1,387.43

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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.