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Finding the Fourth Proportional to 3,645.64, 5,030.97 and 1,989.64

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Solution

The fourth proportional to 3,645.64, 5,030.97 and 1,989.64 is: 2,745.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.64 : 5,030.97 = 1,989.64 : x
  2. Step 2: Convert to fraction form
    3,645.64/5,030.97 = 1,989.64/x
  3. Step 3: Cross multiply
    3,645.64x = 5,030.97 × 1,989.64
  4. Step 4: Simplify right side
    3,645.64x = 10,009,819.15
  5. Step 5: Solve for x
    x = 10,009,819.15/3,645.64
  6. Step 6: Final answer
    x = 2,745.70

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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.