Home / 1,978.51-2,967.81-938.26

Finding the Fourth Proportional to 1,978.51, 2,967.81 and 938.26

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Solution

The fourth proportional to 1,978.51, 2,967.81 and 938.26 is: 1,407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.51 : 2,967.81 = 938.26 : x
  2. Step 2: Convert to fraction form
    1,978.51/2,967.81 = 938.26/x
  3. Step 3: Cross multiply
    1,978.51x = 2,967.81 × 938.26
  4. Step 4: Simplify right side
    1,978.51x = 2,784,577.41
  5. Step 5: Solve for x
    x = 2,784,577.41/1,978.51
  6. Step 6: Final answer
    x = 1,407.41

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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.