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Finding the Fourth Proportional to 1,833.23, 2,749.38 and 907.91

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Solution

The fourth proportional to 1,833.23, 2,749.38 and 907.91 is: 1,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.23 : 2,749.38 = 907.91 : x
  2. Step 2: Convert to fraction form
    1,833.23/2,749.38 = 907.91/x
  3. Step 3: Cross multiply
    1,833.23x = 2,749.38 × 907.91
  4. Step 4: Simplify right side
    1,833.23x = 2,496,189.60
  5. Step 5: Solve for x
    x = 2,496,189.60/1,833.23
  6. Step 6: Final answer
    x = 1,361.63

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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.