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Finding the Fourth Proportional to 21,012, 29,000.82 and 12,065.67

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Solution

The fourth proportional to 21,012, 29,000.82 and 12,065.67 is: 16,653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012 : 29,000.82 = 12,065.67 : x
  2. Step 2: Convert to fraction form
    21,012/29,000.82 = 12,065.67/x
  3. Step 3: Cross multiply
    21,012x = 29,000.82 × 12,065.67
  4. Step 4: Simplify right side
    21,012x = 349,914,323.85
  5. Step 5: Solve for x
    x = 349,914,323.85/21,012
  6. Step 6: Final answer
    x = 16,653.07

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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.