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Finding the Fourth Proportional to 6,139.84, 9,203.84 and 3,830.08

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Solution

The fourth proportional to 6,139.84, 9,203.84 and 3,830.08 is: 5,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.84 : 9,203.84 = 3,830.08 : x
  2. Step 2: Convert to fraction form
    6,139.84/9,203.84 = 3,830.08/x
  3. Step 3: Cross multiply
    6,139.84x = 9,203.84 × 3,830.08
  4. Step 4: Simplify right side
    6,139.84x = 35,251,443.51
  5. Step 5: Solve for x
    x = 35,251,443.51/6,139.84
  6. Step 6: Final answer
    x = 5,741.43

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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.