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Finding the Fourth Proportional to 3,653.34, 5,478.24 and 1,984.86

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Solution

The fourth proportional to 3,653.34, 5,478.24 and 1,984.86 is: 2,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.34 : 5,478.24 = 1,984.86 : x
  2. Step 2: Convert to fraction form
    3,653.34/5,478.24 = 1,984.86/x
  3. Step 3: Cross multiply
    3,653.34x = 5,478.24 × 1,984.86
  4. Step 4: Simplify right side
    3,653.34x = 10,873,539.45
  5. Step 5: Solve for x
    x = 10,873,539.45/3,653.34
  6. Step 6: Final answer
    x = 2,976.33

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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.