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Finding the Fourth Proportional to 18,496, 27,738.78 and 6,013.36

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Solution

The fourth proportional to 18,496, 27,738.78 and 6,013.36 is: 9,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496 : 27,738.78 = 6,013.36 : x
  2. Step 2: Convert to fraction form
    18,496/27,738.78 = 6,013.36/x
  3. Step 3: Cross multiply
    18,496x = 27,738.78 × 6,013.36
  4. Step 4: Simplify right side
    18,496x = 166,803,270.10
  5. Step 5: Solve for x
    x = 166,803,270.10/18,496
  6. Step 6: Final answer
    x = 9,018.34

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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.