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Finding the Fourth Proportional to 3,783, 5,674.50 and 1,047

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Solution

The fourth proportional to 3,783, 5,674.50 and 1,047 is: 1,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783 : 5,674.50 = 1,047 : x
  2. Step 2: Convert to fraction form
    3,783/5,674.50 = 1,047/x
  3. Step 3: Cross multiply
    3,783x = 5,674.50 × 1,047
  4. Step 4: Simplify right side
    3,783x = 5,941,201.50
  5. Step 5: Solve for x
    x = 5,941,201.50/3,783
  6. Step 6: Final answer
    x = 1,570.50

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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.