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Finding the Fourth Proportional to 1,978.28, 2,724.46 and 1,935.22

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Solution

The fourth proportional to 1,978.28, 2,724.46 and 1,935.22 is: 2,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.28 : 2,724.46 = 1,935.22 : x
  2. Step 2: Convert to fraction form
    1,978.28/2,724.46 = 1,935.22/x
  3. Step 3: Cross multiply
    1,978.28x = 2,724.46 × 1,935.22
  4. Step 4: Simplify right side
    1,978.28x = 5,272,415.86
  5. Step 5: Solve for x
    x = 5,272,415.86/1,978.28
  6. Step 6: Final answer
    x = 2,665.16

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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.