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Finding the Fourth Proportional to 20,557, 30,840.36 and 6,706

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Solution

The fourth proportional to 20,557, 30,840.36 and 6,706 is: 10,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,557 : 30,840.36 = 6,706 : x
  2. Step 2: Convert to fraction form
    20,557/30,840.36 = 6,706/x
  3. Step 3: Cross multiply
    20,557x = 30,840.36 × 6,706
  4. Step 4: Simplify right side
    20,557x = 206,815,454.16
  5. Step 5: Solve for x
    x = 206,815,454.16/20,557
  6. Step 6: Final answer
    x = 10,060.59

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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.