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Finding the Fourth Proportional to 2,986.76, 4,480.11 and 906.81

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Solution

The fourth proportional to 2,986.76, 4,480.11 and 906.81 is: 1,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.76 : 4,480.11 = 906.81 : x
  2. Step 2: Convert to fraction form
    2,986.76/4,480.11 = 906.81/x
  3. Step 3: Cross multiply
    2,986.76x = 4,480.11 × 906.81
  4. Step 4: Simplify right side
    2,986.76x = 4,062,608.55
  5. Step 5: Solve for x
    x = 4,062,608.55/2,986.76
  6. Step 6: Final answer
    x = 1,360.21

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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.