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Finding the Fourth Proportional to 1,832.90, 2,749.34 and 907.54

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Solution

The fourth proportional to 1,832.90, 2,749.34 and 907.54 is: 1,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.90 : 2,749.34 = 907.54 : x
  2. Step 2: Convert to fraction form
    1,832.90/2,749.34 = 907.54/x
  3. Step 3: Cross multiply
    1,832.90x = 2,749.34 × 907.54
  4. Step 4: Simplify right side
    1,832.90x = 2,495,131.42
  5. Step 5: Solve for x
    x = 2,495,131.42/1,832.90
  6. Step 6: Final answer
    x = 1,361.31

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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.