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Finding the Fourth Proportional to 3,563.72, 5,347.60 and 1,920.23

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Solution

The fourth proportional to 3,563.72, 5,347.60 and 1,920.23 is: 2,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.72 : 5,347.60 = 1,920.23 : x
  2. Step 2: Convert to fraction form
    3,563.72/5,347.60 = 1,920.23/x
  3. Step 3: Cross multiply
    3,563.72x = 5,347.60 × 1,920.23
  4. Step 4: Simplify right side
    3,563.72x = 10,268,621.95
  5. Step 5: Solve for x
    x = 10,268,621.95/3,563.72
  6. Step 6: Final answer
    x = 2,881.43

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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.