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Finding the Fourth Proportional to 3,689.58, 5,086.73 and 2,980.63

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Solution

The fourth proportional to 3,689.58, 5,086.73 and 2,980.63 is: 4,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.58 : 5,086.73 = 2,980.63 : x
  2. Step 2: Convert to fraction form
    3,689.58/5,086.73 = 2,980.63/x
  3. Step 3: Cross multiply
    3,689.58x = 5,086.73 × 2,980.63
  4. Step 4: Simplify right side
    3,689.58x = 15,161,660.04
  5. Step 5: Solve for x
    x = 15,161,660.04/3,689.58
  6. Step 6: Final answer
    x = 4,109.32

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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.