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Finding the Fourth Proportional to 6,102.99, 8,421.78 and 3,450.51

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Solution

The fourth proportional to 6,102.99, 8,421.78 and 3,450.51 is: 4,761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.99 : 8,421.78 = 3,450.51 : x
  2. Step 2: Convert to fraction form
    6,102.99/8,421.78 = 3,450.51/x
  3. Step 3: Cross multiply
    6,102.99x = 8,421.78 × 3,450.51
  4. Step 4: Simplify right side
    6,102.99x = 29,059,436.11
  5. Step 5: Solve for x
    x = 29,059,436.11/6,102.99
  6. Step 6: Final answer
    x = 4,761.51

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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.