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Finding the Fourth Proportional to 4,221.87, 6,333.74 and 1,448.48

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Solution

The fourth proportional to 4,221.87, 6,333.74 and 1,448.48 is: 2,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.87 : 6,333.74 = 1,448.48 : x
  2. Step 2: Convert to fraction form
    4,221.87/6,333.74 = 1,448.48/x
  3. Step 3: Cross multiply
    4,221.87x = 6,333.74 × 1,448.48
  4. Step 4: Simplify right side
    4,221.87x = 9,174,317.89
  5. Step 5: Solve for x
    x = 9,174,317.89/4,221.87
  6. Step 6: Final answer
    x = 2,173.05

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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.