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Finding the Fourth Proportional to 27,803.58, 41,669.21 and 21,205.50

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Solution

The fourth proportional to 27,803.58, 41,669.21 and 21,205.50 is: 31,780.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.58 : 41,669.21 = 21,205.50 : x
  2. Step 2: Convert to fraction form
    27,803.58/41,669.21 = 21,205.50/x
  3. Step 3: Cross multiply
    27,803.58x = 41,669.21 × 21,205.50
  4. Step 4: Simplify right side
    27,803.58x = 883,616,432.66
  5. Step 5: Solve for x
    x = 883,616,432.66/27,803.58
  6. Step 6: Final answer
    x = 31,780.67

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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.