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Finding the Fourth Proportional to 21,804, 32,706.24 and 5,388

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Solution

The fourth proportional to 21,804, 32,706.24 and 5,388 is: 8,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,804 : 32,706.24 = 5,388 : x
  2. Step 2: Convert to fraction form
    21,804/32,706.24 = 5,388/x
  3. Step 3: Cross multiply
    21,804x = 32,706.24 × 5,388
  4. Step 4: Simplify right side
    21,804x = 176,221,221.12
  5. Step 5: Solve for x
    x = 176,221,221.12/21,804
  6. Step 6: Final answer
    x = 8,082.06

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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.