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Finding the Fourth Proportional to 2,628.92, 3,944.10 and 897.32

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Solution

The fourth proportional to 2,628.92, 3,944.10 and 897.32 is: 1,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.92 : 3,944.10 = 897.32 : x
  2. Step 2: Convert to fraction form
    2,628.92/3,944.10 = 897.32/x
  3. Step 3: Cross multiply
    2,628.92x = 3,944.10 × 897.32
  4. Step 4: Simplify right side
    2,628.92x = 3,539,119.81
  5. Step 5: Solve for x
    x = 3,539,119.81/2,628.92
  6. Step 6: Final answer
    x = 1,346.23

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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.