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Finding the Fourth Proportional to 2,289.04, 3,433.92 and 828.54

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Solution

The fourth proportional to 2,289.04, 3,433.92 and 828.54 is: 1,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.04 : 3,433.92 = 828.54 : x
  2. Step 2: Convert to fraction form
    2,289.04/3,433.92 = 828.54/x
  3. Step 3: Cross multiply
    2,289.04x = 3,433.92 × 828.54
  4. Step 4: Simplify right side
    2,289.04x = 2,845,140.08
  5. Step 5: Solve for x
    x = 2,845,140.08/2,289.04
  6. Step 6: Final answer
    x = 1,242.94

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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.