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Finding the Fourth Proportional to 31,664, 47,488.80 and 11,944.64

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Solution

The fourth proportional to 31,664, 47,488.80 and 11,944.64 is: 17,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,664 : 47,488.80 = 11,944.64 : x
  2. Step 2: Convert to fraction form
    31,664/47,488.80 = 11,944.64/x
  3. Step 3: Cross multiply
    31,664x = 47,488.80 × 11,944.64
  4. Step 4: Simplify right side
    31,664x = 567,236,620.03
  5. Step 5: Solve for x
    x = 567,236,620.03/31,664
  6. Step 6: Final answer
    x = 17,914.24

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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.