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Finding the Fourth Proportional to 3,660.22, 5,051.07 and 1,981.59

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Solution

The fourth proportional to 3,660.22, 5,051.07 and 1,981.59 is: 2,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.22 : 5,051.07 = 1,981.59 : x
  2. Step 2: Convert to fraction form
    3,660.22/5,051.07 = 1,981.59/x
  3. Step 3: Cross multiply
    3,660.22x = 5,051.07 × 1,981.59
  4. Step 4: Simplify right side
    3,660.22x = 10,009,144.60
  5. Step 5: Solve for x
    x = 10,009,144.60/3,660.22
  6. Step 6: Final answer
    x = 2,734.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.