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Finding the Fourth Proportional to 21,205, 29,266.49 and 12,257.67

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Solution

The fourth proportional to 21,205, 29,266.49 and 12,257.67 is: 16,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205 : 29,266.49 = 12,257.67 : x
  2. Step 2: Convert to fraction form
    21,205/29,266.49 = 12,257.67/x
  3. Step 3: Cross multiply
    21,205x = 29,266.49 × 12,257.67
  4. Step 4: Simplify right side
    21,205x = 358,738,976.48
  5. Step 5: Solve for x
    x = 358,738,976.48/21,205
  6. Step 6: Final answer
    x = 16,917.66

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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.