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Finding the Fourth Proportional to 2,961.07, 4,446.62 and 1,980.19

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Solution

The fourth proportional to 2,961.07, 4,446.62 and 1,980.19 is: 2,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.07 : 4,446.62 = 1,980.19 : x
  2. Step 2: Convert to fraction form
    2,961.07/4,446.62 = 1,980.19/x
  3. Step 3: Cross multiply
    2,961.07x = 4,446.62 × 1,980.19
  4. Step 4: Simplify right side
    2,961.07x = 8,805,146.29
  5. Step 5: Solve for x
    x = 8,805,146.29/2,961.07
  6. Step 6: Final answer
    x = 2,973.64

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1.5x scale

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.