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Finding the Fourth Proportional to 2,078.97, 2,847.12 and 2,051.63

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Solution

The fourth proportional to 2,078.97, 2,847.12 and 2,051.63 is: 2,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.97 : 2,847.12 = 2,051.63 : x
  2. Step 2: Convert to fraction form
    2,078.97/2,847.12 = 2,051.63/x
  3. Step 3: Cross multiply
    2,078.97x = 2,847.12 × 2,051.63
  4. Step 4: Simplify right side
    2,078.97x = 5,841,236.81
  5. Step 5: Solve for x
    x = 5,841,236.81/2,078.97
  6. Step 6: Final answer
    x = 2,809.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.