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Finding the Fourth Proportional to 31,486.92, 47,228.75 and 11,763.92

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Solution

The fourth proportional to 31,486.92, 47,228.75 and 11,763.92 is: 17,645.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486.92 : 47,228.75 = 11,763.92 : x
  2. Step 2: Convert to fraction form
    31,486.92/47,228.75 = 11,763.92/x
  3. Step 3: Cross multiply
    31,486.92x = 47,228.75 × 11,763.92
  4. Step 4: Simplify right side
    31,486.92x = 555,595,236.70
  5. Step 5: Solve for x
    x = 555,595,236.70/31,486.92
  6. Step 6: Final answer
    x = 17,645.27

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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.