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Finding the Fourth Proportional to 2,500.54, 3,749.28 and 856.96

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Solution

The fourth proportional to 2,500.54, 3,749.28 and 856.96 is: 1,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,500.54 : 3,749.28 = 856.96 : x
  2. Step 2: Convert to fraction form
    2,500.54/3,749.28 = 856.96/x
  3. Step 3: Cross multiply
    2,500.54x = 3,749.28 × 856.96
  4. Step 4: Simplify right side
    2,500.54x = 3,212,982.99
  5. Step 5: Solve for x
    x = 3,212,982.99/2,500.54
  6. Step 6: Final answer
    x = 1,284.92

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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.