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Finding the Fourth Proportional to 19,969.11, 29,953.65 and 6,821.58

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Solution

The fourth proportional to 19,969.11, 29,953.65 and 6,821.58 is: 10,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.11 : 29,953.65 = 6,821.58 : x
  2. Step 2: Convert to fraction form
    19,969.11/29,953.65 = 6,821.58/x
  3. Step 3: Cross multiply
    19,969.11x = 29,953.65 × 6,821.58
  4. Step 4: Simplify right side
    19,969.11x = 204,331,219.77
  5. Step 5: Solve for x
    x = 204,331,219.77/19,969.11
  6. Step 6: Final answer
    x = 10,232.36

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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.