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Finding the Fourth Proportional to 19,969.19, 29,953.78 and 6,821.67

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Solution

The fourth proportional to 19,969.19, 29,953.78 and 6,821.67 is: 10,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.19 : 29,953.78 = 6,821.67 : x
  2. Step 2: Convert to fraction form
    19,969.19/29,953.78 = 6,821.67/x
  3. Step 3: Cross multiply
    19,969.19x = 29,953.78 × 6,821.67
  4. Step 4: Simplify right side
    19,969.19x = 204,334,936.06
  5. Step 5: Solve for x
    x = 204,334,936.06/19,969.19
  6. Step 6: Final answer
    x = 10,232.51

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1.5x scale

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.