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Finding the Fourth Proportional to 2,938.83, 4,408.26 and 991.05

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Solution

The fourth proportional to 2,938.83, 4,408.26 and 991.05 is: 1,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.83 : 4,408.26 = 991.05 : x
  2. Step 2: Convert to fraction form
    2,938.83/4,408.26 = 991.05/x
  3. Step 3: Cross multiply
    2,938.83x = 4,408.26 × 991.05
  4. Step 4: Simplify right side
    2,938.83x = 4,368,806.07
  5. Step 5: Solve for x
    x = 4,368,806.07/2,938.83
  6. Step 6: Final answer
    x = 1,486.58

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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.