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Finding the Fourth Proportional to 50,491.99, 69,678.60 and 27,831

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Solution

The fourth proportional to 50,491.99, 69,678.60 and 27,831 is: 38,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,491.99 : 69,678.60 = 27,831 : x
  2. Step 2: Convert to fraction form
    50,491.99/69,678.60 = 27,831/x
  3. Step 3: Cross multiply
    50,491.99x = 69,678.60 × 27,831
  4. Step 4: Simplify right side
    50,491.99x = 1,939,225,116.60
  5. Step 5: Solve for x
    x = 1,939,225,116.60/50,491.99
  6. Step 6: Final answer
    x = 38,406.59

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1.5x scale

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.