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Finding the Fourth Proportional to 2,684.77, 4,022.70 and 1,900.90

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Solution

The fourth proportional to 2,684.77, 4,022.70 and 1,900.90 is: 2,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.77 : 4,022.70 = 1,900.90 : x
  2. Step 2: Convert to fraction form
    2,684.77/4,022.70 = 1,900.90/x
  3. Step 3: Cross multiply
    2,684.77x = 4,022.70 × 1,900.90
  4. Step 4: Simplify right side
    2,684.77x = 7,646,730.32
  5. Step 5: Solve for x
    x = 7,646,730.32/2,684.77
  6. Step 6: Final answer
    x = 2,848.19

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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.