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Finding the Fourth Proportional to 6,139.36, 9,213 and 2,854

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Solution

The fourth proportional to 6,139.36, 9,213 and 2,854 is: 4,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.36 : 9,213 = 2,854 : x
  2. Step 2: Convert to fraction form
    6,139.36/9,213 = 2,854/x
  3. Step 3: Cross multiply
    6,139.36x = 9,213 × 2,854
  4. Step 4: Simplify right side
    6,139.36x = 26,293,902
  5. Step 5: Solve for x
    x = 26,293,902/6,139.36
  6. Step 6: Final answer
    x = 4,282.84

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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.