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Finding the Fourth Proportional to 31,969.57, 47,970.83 and 14,212.48

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Solution

The fourth proportional to 31,969.57, 47,970.83 and 14,212.48 is: 21,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.57 : 47,970.83 = 14,212.48 : x
  2. Step 2: Convert to fraction form
    31,969.57/47,970.83 = 14,212.48/x
  3. Step 3: Cross multiply
    31,969.57x = 47,970.83 × 14,212.48
  4. Step 4: Simplify right side
    31,969.57x = 681,784,461.96
  5. Step 5: Solve for x
    x = 681,784,461.96/31,969.57
  6. Step 6: Final answer
    x = 21,326.04

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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.