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Finding the Fourth Proportional to 20,706.56, 31,056 and 6,853.76

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Solution

The fourth proportional to 20,706.56, 31,056 and 6,853.76 is: 10,279.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706.56 : 31,056 = 6,853.76 : x
  2. Step 2: Convert to fraction form
    20,706.56/31,056 = 6,853.76/x
  3. Step 3: Cross multiply
    20,706.56x = 31,056 × 6,853.76
  4. Step 4: Simplify right side
    20,706.56x = 212,850,370.56
  5. Step 5: Solve for x
    x = 212,850,370.56/20,706.56
  6. Step 6: Final answer
    x = 10,279.37

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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.