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Finding the Fourth Proportional to 2,707.54, 4,059.78 and 1,783.60

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Solution

The fourth proportional to 2,707.54, 4,059.78 and 1,783.60 is: 2,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.54 : 4,059.78 = 1,783.60 : x
  2. Step 2: Convert to fraction form
    2,707.54/4,059.78 = 1,783.60/x
  3. Step 3: Cross multiply
    2,707.54x = 4,059.78 × 1,783.60
  4. Step 4: Simplify right side
    2,707.54x = 7,241,023.61
  5. Step 5: Solve for x
    x = 7,241,023.61/2,707.54
  6. Step 6: Final answer
    x = 2,674.39

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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.