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Finding the Fourth Proportional to 18,013.82, 27,022.02 and 6,920.50

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Solution

The fourth proportional to 18,013.82, 27,022.02 and 6,920.50 is: 10,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,013.82 : 27,022.02 = 6,920.50 : x
  2. Step 2: Convert to fraction form
    18,013.82/27,022.02 = 6,920.50/x
  3. Step 3: Cross multiply
    18,013.82x = 27,022.02 × 6,920.50
  4. Step 4: Simplify right side
    18,013.82x = 187,005,889.41
  5. Step 5: Solve for x
    x = 187,005,889.41/18,013.82
  6. Step 6: Final answer
    x = 10,381.25

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1.5x scale

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.