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Finding the Fourth Proportional to 6,782.51, 10,170.11 and 2,100.51

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Solution

The fourth proportional to 6,782.51, 10,170.11 and 2,100.51 is: 3,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.51 : 10,170.11 = 2,100.51 : x
  2. Step 2: Convert to fraction form
    6,782.51/10,170.11 = 2,100.51/x
  3. Step 3: Cross multiply
    6,782.51x = 10,170.11 × 2,100.51
  4. Step 4: Simplify right side
    6,782.51x = 21,362,423.01
  5. Step 5: Solve for x
    x = 21,362,423.01/6,782.51
  6. Step 6: Final answer
    x = 3,149.63

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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.