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Finding the Fourth Proportional to 2,104.95, 2,903.13 and 2,019.90

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Solution

The fourth proportional to 2,104.95, 2,903.13 and 2,019.90 is: 2,785.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.95 : 2,903.13 = 2,019.90 : x
  2. Step 2: Convert to fraction form
    2,104.95/2,903.13 = 2,019.90/x
  3. Step 3: Cross multiply
    2,104.95x = 2,903.13 × 2,019.90
  4. Step 4: Simplify right side
    2,104.95x = 5,864,032.29
  5. Step 5: Solve for x
    x = 5,864,032.29/2,104.95
  6. Step 6: Final answer
    x = 2,785.83

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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.