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Finding the Fourth Proportional to 6,871.56, 10,308.14 and 2,189.94

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Solution

The fourth proportional to 6,871.56, 10,308.14 and 2,189.94 is: 3,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.56 : 10,308.14 = 2,189.94 : x
  2. Step 2: Convert to fraction form
    6,871.56/10,308.14 = 2,189.94/x
  3. Step 3: Cross multiply
    6,871.56x = 10,308.14 × 2,189.94
  4. Step 4: Simplify right side
    6,871.56x = 22,574,208.11
  5. Step 5: Solve for x
    x = 22,574,208.11/6,871.56
  6. Step 6: Final answer
    x = 3,285.16

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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.