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Finding the Fourth Proportional to 4,189, 6,307.91 and 3,101.08

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Solution

The fourth proportional to 4,189, 6,307.91 and 3,101.08 is: 4,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189 : 6,307.91 = 3,101.08 : x
  2. Step 2: Convert to fraction form
    4,189/6,307.91 = 3,101.08/x
  3. Step 3: Cross multiply
    4,189x = 6,307.91 × 3,101.08
  4. Step 4: Simplify right side
    4,189x = 19,561,333.54
  5. Step 5: Solve for x
    x = 19,561,333.54/4,189
  6. Step 6: Final answer
    x = 4,669.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.