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Finding the Fourth Proportional to 36,491, 50,357.64 and 19,724

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Solution

The fourth proportional to 36,491, 50,357.64 and 19,724 is: 27,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,491 : 50,357.64 = 19,724 : x
  2. Step 2: Convert to fraction form
    36,491/50,357.64 = 19,724/x
  3. Step 3: Cross multiply
    36,491x = 50,357.64 × 19,724
  4. Step 4: Simplify right side
    36,491x = 993,254,091.36
  5. Step 5: Solve for x
    x = 993,254,091.36/36,491
  6. Step 6: Final answer
    x = 27,219.15

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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.