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Finding the Fourth Proportional to 31,491.99, 47,238.69 and 11,759.78

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Solution

The fourth proportional to 31,491.99, 47,238.69 and 11,759.78 is: 17,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491.99 : 47,238.69 = 11,759.78 : x
  2. Step 2: Convert to fraction form
    31,491.99/47,238.69 = 11,759.78/x
  3. Step 3: Cross multiply
    31,491.99x = 47,238.69 × 11,759.78
  4. Step 4: Simplify right side
    31,491.99x = 555,516,764.08
  5. Step 5: Solve for x
    x = 555,516,764.08/31,491.99
  6. Step 6: Final answer
    x = 17,639.94

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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.