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Finding the Fourth Proportional to 18,005.81, 26,970.75 and 11,738.03

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Solution

The fourth proportional to 18,005.81, 26,970.75 and 11,738.03 is: 17,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,005.81 : 26,970.75 = 11,738.03 : x
  2. Step 2: Convert to fraction form
    18,005.81/26,970.75 = 11,738.03/x
  3. Step 3: Cross multiply
    18,005.81x = 26,970.75 × 11,738.03
  4. Step 4: Simplify right side
    18,005.81x = 316,583,337.77
  5. Step 5: Solve for x
    x = 316,583,337.77/18,005.81
  6. Step 6: Final answer
    x = 17,582.29

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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.