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Finding the Fourth Proportional to 2,640.90, 3,961.54 and 909.50

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Solution

The fourth proportional to 2,640.90, 3,961.54 and 909.50 is: 1,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.90 : 3,961.54 = 909.50 : x
  2. Step 2: Convert to fraction form
    2,640.90/3,961.54 = 909.50/x
  3. Step 3: Cross multiply
    2,640.90x = 3,961.54 × 909.50
  4. Step 4: Simplify right side
    2,640.90x = 3,603,020.63
  5. Step 5: Solve for x
    x = 3,603,020.63/2,640.90
  6. Step 6: Final answer
    x = 1,364.32

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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.