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Finding the Fourth Proportional to 31,806.39, 47,680.39 and 11,015.31

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Solution

The fourth proportional to 31,806.39, 47,680.39 and 11,015.31 is: 16,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.39 : 47,680.39 = 11,015.31 : x
  2. Step 2: Convert to fraction form
    31,806.39/47,680.39 = 11,015.31/x
  3. Step 3: Cross multiply
    31,806.39x = 47,680.39 × 11,015.31
  4. Step 4: Simplify right side
    31,806.39x = 525,214,276.77
  5. Step 5: Solve for x
    x = 525,214,276.77/31,806.39
  6. Step 6: Final answer
    x = 16,512.85

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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.