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Finding the Fourth Proportional to 7,858, 10,839.18 and 6,289.84

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Solution

The fourth proportional to 7,858, 10,839.18 and 6,289.84 is: 8,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858 : 10,839.18 = 6,289.84 : x
  2. Step 2: Convert to fraction form
    7,858/10,839.18 = 6,289.84/x
  3. Step 3: Cross multiply
    7,858x = 10,839.18 × 6,289.84
  4. Step 4: Simplify right side
    7,858x = 68,176,707.93
  5. Step 5: Solve for x
    x = 68,176,707.93/7,858
  6. Step 6: Final answer
    x = 8,676.09

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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.