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Finding the Fourth Proportional to 4,933.87, 7,400.79 and 1,646.21

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Solution

The fourth proportional to 4,933.87, 7,400.79 and 1,646.21 is: 2,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.87 : 7,400.79 = 1,646.21 : x
  2. Step 2: Convert to fraction form
    4,933.87/7,400.79 = 1,646.21/x
  3. Step 3: Cross multiply
    4,933.87x = 7,400.79 × 1,646.21
  4. Step 4: Simplify right side
    4,933.87x = 12,183,254.51
  5. Step 5: Solve for x
    x = 12,183,254.51/4,933.87
  6. Step 6: Final answer
    x = 2,469.31

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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.