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Finding the Fourth Proportional to 21,804, 32,706.80 and 7,765.06

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Solution

The fourth proportional to 21,804, 32,706.80 and 7,765.06 is: 11,647.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804 : 32,706.80 = 7,765.06 : x
  2. Step 2: Convert to fraction form
    21,804/32,706.80 = 7,765.06/x
  3. Step 3: Cross multiply
    21,804x = 32,706.80 × 7,765.06
  4. Step 4: Simplify right side
    21,804x = 253,970,202.05
  5. Step 5: Solve for x
    x = 253,970,202.05/21,804
  6. Step 6: Final answer
    x = 11,647.87

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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.