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Finding the Fourth Proportional to 3,038.56, 4,193.92 and 1,920.16

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Solution

The fourth proportional to 3,038.56, 4,193.92 and 1,920.16 is: 2,650.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.56 : 4,193.92 = 1,920.16 : x
  2. Step 2: Convert to fraction form
    3,038.56/4,193.92 = 1,920.16/x
  3. Step 3: Cross multiply
    3,038.56x = 4,193.92 × 1,920.16
  4. Step 4: Simplify right side
    3,038.56x = 8,052,997.43
  5. Step 5: Solve for x
    x = 8,052,997.43/3,038.56
  6. Step 6: Final answer
    x = 2,650.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.