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Finding the Fourth Proportional to 3,026.82, 4,171.05 and 1,977.06

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Solution

The fourth proportional to 3,026.82, 4,171.05 and 1,977.06 is: 2,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.82 : 4,171.05 = 1,977.06 : x
  2. Step 2: Convert to fraction form
    3,026.82/4,171.05 = 1,977.06/x
  3. Step 3: Cross multiply
    3,026.82x = 4,171.05 × 1,977.06
  4. Step 4: Simplify right side
    3,026.82x = 8,246,416.11
  5. Step 5: Solve for x
    x = 8,246,416.11/3,026.82
  6. Step 6: Final answer
    x = 2,724.45

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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.