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Finding the Fourth Proportional to 2,970.34, 4,100.05 and 1,976.26

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Solution

The fourth proportional to 2,970.34, 4,100.05 and 1,976.26 is: 2,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.34 : 4,100.05 = 1,976.26 : x
  2. Step 2: Convert to fraction form
    2,970.34/4,100.05 = 1,976.26/x
  3. Step 3: Cross multiply
    2,970.34x = 4,100.05 × 1,976.26
  4. Step 4: Simplify right side
    2,970.34x = 8,102,764.81
  5. Step 5: Solve for x
    x = 8,102,764.81/2,970.34
  6. Step 6: Final answer
    x = 2,727.89

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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.