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Finding the Fourth Proportional to 1,986.26, 2,980.71 and 1,970.87

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Solution

The fourth proportional to 1,986.26, 2,980.71 and 1,970.87 is: 2,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.26 : 2,980.71 = 1,970.87 : x
  2. Step 2: Convert to fraction form
    1,986.26/2,980.71 = 1,970.87/x
  3. Step 3: Cross multiply
    1,986.26x = 2,980.71 × 1,970.87
  4. Step 4: Simplify right side
    1,986.26x = 5,874,577.01
  5. Step 5: Solve for x
    x = 5,874,577.01/1,986.26
  6. Step 6: Final answer
    x = 2,957.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.