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Finding the Fourth Proportional to 18,534, 27,803.88 and 6,224.88

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Solution

The fourth proportional to 18,534, 27,803.88 and 6,224.88 is: 9,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534 : 27,803.88 = 6,224.88 : x
  2. Step 2: Convert to fraction form
    18,534/27,803.88 = 6,224.88/x
  3. Step 3: Cross multiply
    18,534x = 27,803.88 × 6,224.88
  4. Step 4: Simplify right side
    18,534x = 173,075,816.53
  5. Step 5: Solve for x
    x = 173,075,816.53/18,534
  6. Step 6: Final answer
    x = 9,338.29

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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.