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Finding the Fourth Proportional to 3,903.54, 5,856.92 and 2,054.20

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Solution

The fourth proportional to 3,903.54, 5,856.92 and 2,054.20 is: 3,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.54 : 5,856.92 = 2,054.20 : x
  2. Step 2: Convert to fraction form
    3,903.54/5,856.92 = 2,054.20/x
  3. Step 3: Cross multiply
    3,903.54x = 5,856.92 × 2,054.20
  4. Step 4: Simplify right side
    3,903.54x = 12,031,285.06
  5. Step 5: Solve for x
    x = 12,031,285.06/3,903.54
  6. Step 6: Final answer
    x = 3,082.15

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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.