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Finding the Fourth Proportional to 4,739.98, 7,111.14 and 2,142.22

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Solution

The fourth proportional to 4,739.98, 7,111.14 and 2,142.22 is: 3,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.98 : 7,111.14 = 2,142.22 : x
  2. Step 2: Convert to fraction form
    4,739.98/7,111.14 = 2,142.22/x
  3. Step 3: Cross multiply
    4,739.98x = 7,111.14 × 2,142.22
  4. Step 4: Simplify right side
    4,739.98x = 15,233,580.06
  5. Step 5: Solve for x
    x = 15,233,580.06/4,739.98
  6. Step 6: Final answer
    x = 3,213.85

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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.