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Finding the Fourth Proportional to 2,912.75, 4,019.07 and 1,653.86

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Solution

The fourth proportional to 2,912.75, 4,019.07 and 1,653.86 is: 2,282.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.75 : 4,019.07 = 1,653.86 : x
  2. Step 2: Convert to fraction form
    2,912.75/4,019.07 = 1,653.86/x
  3. Step 3: Cross multiply
    2,912.75x = 4,019.07 × 1,653.86
  4. Step 4: Simplify right side
    2,912.75x = 6,646,979.11
  5. Step 5: Solve for x
    x = 6,646,979.11/2,912.75
  6. Step 6: Final answer
    x = 2,282.03

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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.