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Finding the Fourth Proportional to 2,166.84, 2,986.56 and 1,980.90

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Solution

The fourth proportional to 2,166.84, 2,986.56 and 1,980.90 is: 2,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.84 : 2,986.56 = 1,980.90 : x
  2. Step 2: Convert to fraction form
    2,166.84/2,986.56 = 1,980.90/x
  3. Step 3: Cross multiply
    2,166.84x = 2,986.56 × 1,980.90
  4. Step 4: Simplify right side
    2,166.84x = 5,916,076.70
  5. Step 5: Solve for x
    x = 5,916,076.70/2,166.84
  6. Step 6: Final answer
    x = 2,730.28

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1.5x scale

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.