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Finding the Fourth Proportional to 19,409.70, 29,114.55 and 5,558.70

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Solution

The fourth proportional to 19,409.70, 29,114.55 and 5,558.70 is: 8,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.70 : 29,114.55 = 5,558.70 : x
  2. Step 2: Convert to fraction form
    19,409.70/29,114.55 = 5,558.70/x
  3. Step 3: Cross multiply
    19,409.70x = 29,114.55 × 5,558.70
  4. Step 4: Simplify right side
    19,409.70x = 161,839,049.09
  5. Step 5: Solve for x
    x = 161,839,049.09/19,409.70
  6. Step 6: Final answer
    x = 8,338.05

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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.