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Finding the Fourth Proportional to 38,491.87, 57,715.75 and 11,830.92

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Solution

The fourth proportional to 38,491.87, 57,715.75 and 11,830.92 is: 17,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,491.87 : 57,715.75 = 11,830.92 : x
  2. Step 2: Convert to fraction form
    38,491.87/57,715.75 = 11,830.92/x
  3. Step 3: Cross multiply
    38,491.87x = 57,715.75 × 11,830.92
  4. Step 4: Simplify right side
    38,491.87x = 682,830,073.26
  5. Step 5: Solve for x
    x = 682,830,073.26/38,491.87
  6. Step 6: Final answer
    x = 17,739.59

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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.