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Finding the Fourth Proportional to 2,970.80, 4,100 and 2,223.44

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Solution

The fourth proportional to 2,970.80, 4,100 and 2,223.44 is: 3,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.80 : 4,100 = 2,223.44 : x
  2. Step 2: Convert to fraction form
    2,970.80/4,100 = 2,223.44/x
  3. Step 3: Cross multiply
    2,970.80x = 4,100 × 2,223.44
  4. Step 4: Simplify right side
    2,970.80x = 9,116,104
  5. Step 5: Solve for x
    x = 9,116,104/2,970.80
  6. Step 6: Final answer
    x = 3,068.57

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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.