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Finding the Fourth Proportional to 18,957, 28,434.30 and 7,404.52

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Solution

The fourth proportional to 18,957, 28,434.30 and 7,404.52 is: 11,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,957 : 28,434.30 = 7,404.52 : x
  2. Step 2: Convert to fraction form
    18,957/28,434.30 = 7,404.52/x
  3. Step 3: Cross multiply
    18,957x = 28,434.30 × 7,404.52
  4. Step 4: Simplify right side
    18,957x = 210,542,343.04
  5. Step 5: Solve for x
    x = 210,542,343.04/18,957
  6. Step 6: Final answer
    x = 11,106.31

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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.