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Finding the Fourth Proportional to 6,858.61, 10,287.03 and 1,928.61

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Solution

The fourth proportional to 6,858.61, 10,287.03 and 1,928.61 is: 2,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.61 : 10,287.03 = 1,928.61 : x
  2. Step 2: Convert to fraction form
    6,858.61/10,287.03 = 1,928.61/x
  3. Step 3: Cross multiply
    6,858.61x = 10,287.03 × 1,928.61
  4. Step 4: Simplify right side
    6,858.61x = 19,839,676.16
  5. Step 5: Solve for x
    x = 19,839,676.16/6,858.61
  6. Step 6: Final answer
    x = 2,892.67

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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.