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Finding the Fourth Proportional to 22,290, 33,427.26 and 6,490.74

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Solution

The fourth proportional to 22,290, 33,427.26 and 6,490.74 is: 9,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,290 : 33,427.26 = 6,490.74 : x
  2. Step 2: Convert to fraction form
    22,290/33,427.26 = 6,490.74/x
  3. Step 3: Cross multiply
    22,290x = 33,427.26 × 6,490.74
  4. Step 4: Simplify right side
    22,290x = 216,967,653.57
  5. Step 5: Solve for x
    x = 216,967,653.57/22,290
  6. Step 6: Final answer
    x = 9,733.86

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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.