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Finding the Fourth Proportional to 2,970.68, 4,100.22 and 1,976.00

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Solution

The fourth proportional to 2,970.68, 4,100.22 and 1,976.00 is: 2,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.68 : 4,100.22 = 1,976.00 : x
  2. Step 2: Convert to fraction form
    2,970.68/4,100.22 = 1,976.00/x
  3. Step 3: Cross multiply
    2,970.68x = 4,100.22 × 1,976.00
  4. Step 4: Simplify right side
    2,970.68x = 8,102,014.22
  5. Step 5: Solve for x
    x = 8,102,014.22/2,970.68
  6. Step 6: Final answer
    x = 2,727.33

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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.