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Finding the Fourth Proportional to 2,655.55, 3,984.63 and 1,880.54

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Solution

The fourth proportional to 2,655.55, 3,984.63 and 1,880.54 is: 2,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.55 : 3,984.63 = 1,880.54 : x
  2. Step 2: Convert to fraction form
    2,655.55/3,984.63 = 1,880.54/x
  3. Step 3: Cross multiply
    2,655.55x = 3,984.63 × 1,880.54
  4. Step 4: Simplify right side
    2,655.55x = 7,493,226.77
  5. Step 5: Solve for x
    x = 7,493,226.77/2,655.55
  6. Step 6: Final answer
    x = 2,821.73

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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.