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Finding the Fourth Proportional to 2,970.94, 4,100.02 and 1,644.62

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Solution

The fourth proportional to 2,970.94, 4,100.02 and 1,644.62 is: 2,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.94 : 4,100.02 = 1,644.62 : x
  2. Step 2: Convert to fraction form
    2,970.94/4,100.02 = 1,644.62/x
  3. Step 3: Cross multiply
    2,970.94x = 4,100.02 × 1,644.62
  4. Step 4: Simplify right side
    2,970.94x = 6,742,974.89
  5. Step 5: Solve for x
    x = 6,742,974.89/2,970.94
  6. Step 6: Final answer
    x = 2,269.64

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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.