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Finding the Fourth Proportional to 21,285, 31,928.04 and 7,434

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Solution

The fourth proportional to 21,285, 31,928.04 and 7,434 is: 11,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285 : 31,928.04 = 7,434 : x
  2. Step 2: Convert to fraction form
    21,285/31,928.04 = 7,434/x
  3. Step 3: Cross multiply
    21,285x = 31,928.04 × 7,434
  4. Step 4: Simplify right side
    21,285x = 237,353,049.36
  5. Step 5: Solve for x
    x = 237,353,049.36/21,285
  6. Step 6: Final answer
    x = 11,151.19

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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.