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Finding the Fourth Proportional to 31,844, 47,783.52 and 15,428

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Solution

The fourth proportional to 31,844, 47,783.52 and 15,428 is: 23,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,844 : 47,783.52 = 15,428 : x
  2. Step 2: Convert to fraction form
    31,844/47,783.52 = 15,428/x
  3. Step 3: Cross multiply
    31,844x = 47,783.52 × 15,428
  4. Step 4: Simplify right side
    31,844x = 737,204,146.56
  5. Step 5: Solve for x
    x = 737,204,146.56/31,844
  6. Step 6: Final answer
    x = 23,150.49

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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.