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Finding the Fourth Proportional to 2,256.40, 3,384.60 and 2,083.60

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Solution

The fourth proportional to 2,256.40, 3,384.60 and 2,083.60 is: 3,125.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.40 : 3,384.60 = 2,083.60 : x
  2. Step 2: Convert to fraction form
    2,256.40/3,384.60 = 2,083.60/x
  3. Step 3: Cross multiply
    2,256.40x = 3,384.60 × 2,083.60
  4. Step 4: Simplify right side
    2,256.40x = 7,052,152.56
  5. Step 5: Solve for x
    x = 7,052,152.56/2,256.40
  6. Step 6: Final answer
    x = 3,125.40

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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.