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Finding the Fourth Proportional to 31,979.80, 47,969.70 and 11,203.30

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Solution

The fourth proportional to 31,979.80, 47,969.70 and 11,203.30 is: 16,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,979.80 : 47,969.70 = 11,203.30 : x
  2. Step 2: Convert to fraction form
    31,979.80/47,969.70 = 11,203.30/x
  3. Step 3: Cross multiply
    31,979.80x = 47,969.70 × 11,203.30
  4. Step 4: Simplify right side
    31,979.80x = 537,418,940.01
  5. Step 5: Solve for x
    x = 537,418,940.01/31,979.80
  6. Step 6: Final answer
    x = 16,804.95

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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.