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Finding the Fourth Proportional to 21,653.78, 29,882.22 and 12,222.95

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Solution

The fourth proportional to 21,653.78, 29,882.22 and 12,222.95 is: 16,867.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.78 : 29,882.22 = 12,222.95 : x
  2. Step 2: Convert to fraction form
    21,653.78/29,882.22 = 12,222.95/x
  3. Step 3: Cross multiply
    21,653.78x = 29,882.22 × 12,222.95
  4. Step 4: Simplify right side
    21,653.78x = 365,248,955.65
  5. Step 5: Solve for x
    x = 365,248,955.65/21,653.78
  6. Step 6: Final answer
    x = 16,867.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.