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Finding the Fourth Proportional to 2,192.16, 3,289.50 and 893.64

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Solution

The fourth proportional to 2,192.16, 3,289.50 and 893.64 is: 1,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,192.16 : 3,289.50 = 893.64 : x
  2. Step 2: Convert to fraction form
    2,192.16/3,289.50 = 893.64/x
  3. Step 3: Cross multiply
    2,192.16x = 3,289.50 × 893.64
  4. Step 4: Simplify right side
    2,192.16x = 2,939,628.78
  5. Step 5: Solve for x
    x = 2,939,628.78/2,192.16
  6. Step 6: Final answer
    x = 1,340.97

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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.