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Finding the Fourth Proportional to 19,287, 28,933.38 and 6,977.88

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Solution

The fourth proportional to 19,287, 28,933.38 and 6,977.88 is: 10,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,287 : 28,933.38 = 6,977.88 : x
  2. Step 2: Convert to fraction form
    19,287/28,933.38 = 6,977.88/x
  3. Step 3: Cross multiply
    19,287x = 28,933.38 × 6,977.88
  4. Step 4: Simplify right side
    19,287x = 201,893,653.63
  5. Step 5: Solve for x
    x = 201,893,653.63/19,287
  6. Step 6: Final answer
    x = 10,467.86

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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.