Home / 1,427.51-2,141.67-648.18

Finding the Fourth Proportional to 1,427.51, 2,141.67 and 648.18

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Solution

The fourth proportional to 1,427.51, 2,141.67 and 648.18 is: 972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.51 : 2,141.67 = 648.18 : x
  2. Step 2: Convert to fraction form
    1,427.51/2,141.67 = 648.18/x
  3. Step 3: Cross multiply
    1,427.51x = 2,141.67 × 648.18
  4. Step 4: Simplify right side
    1,427.51x = 1,388,187.66
  5. Step 5: Solve for x
    x = 1,388,187.66/1,427.51
  6. Step 6: Final answer
    x = 972.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.