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Finding the Fourth Proportional to 18,490, 27,737.40 and 6,803.36

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Solution

The fourth proportional to 18,490, 27,737.40 and 6,803.36 is: 10,205.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,490 : 27,737.40 = 6,803.36 : x
  2. Step 2: Convert to fraction form
    18,490/27,737.40 = 6,803.36/x
  3. Step 3: Cross multiply
    18,490x = 27,737.40 × 6,803.36
  4. Step 4: Simplify right side
    18,490x = 188,707,517.66
  5. Step 5: Solve for x
    x = 188,707,517.66/18,490
  6. Step 6: Final answer
    x = 10,205.92

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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.