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Finding the Fourth Proportional to 2,980.65, 4,108.14 and 1,984.22

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Solution

The fourth proportional to 2,980.65, 4,108.14 and 1,984.22 is: 2,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.65 : 4,108.14 = 1,984.22 : x
  2. Step 2: Convert to fraction form
    2,980.65/4,108.14 = 1,984.22/x
  3. Step 3: Cross multiply
    2,980.65x = 4,108.14 × 1,984.22
  4. Step 4: Simplify right side
    2,980.65x = 8,151,433.01
  5. Step 5: Solve for x
    x = 8,151,433.01/2,980.65
  6. Step 6: Final answer
    x = 2,734.78

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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.