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Finding the Fourth Proportional to 1,945.44, 2,900.88 and 1,920.96

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Solution

The fourth proportional to 1,945.44, 2,900.88 and 1,920.96 is: 2,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.44 : 2,900.88 = 1,920.96 : x
  2. Step 2: Convert to fraction form
    1,945.44/2,900.88 = 1,920.96/x
  3. Step 3: Cross multiply
    1,945.44x = 2,900.88 × 1,920.96
  4. Step 4: Simplify right side
    1,945.44x = 5,572,474.44
  5. Step 5: Solve for x
    x = 5,572,474.44/1,945.44
  6. Step 6: Final answer
    x = 2,864.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.