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Finding the Fourth Proportional to 5,408.56, 8,111.22 and 1,945

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Solution

The fourth proportional to 5,408.56, 8,111.22 and 1,945 is: 2,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.56 : 8,111.22 = 1,945 : x
  2. Step 2: Convert to fraction form
    5,408.56/8,111.22 = 1,945/x
  3. Step 3: Cross multiply
    5,408.56x = 8,111.22 × 1,945
  4. Step 4: Simplify right side
    5,408.56x = 15,776,322.90
  5. Step 5: Solve for x
    x = 15,776,322.90/5,408.56
  6. Step 6: Final answer
    x = 2,916.92

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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.