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Finding the Fourth Proportional to 6,514, 9,772.62 and 1,897

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Solution

The fourth proportional to 6,514, 9,772.62 and 1,897 is: 2,845.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514 : 9,772.62 = 1,897 : x
  2. Step 2: Convert to fraction form
    6,514/9,772.62 = 1,897/x
  3. Step 3: Cross multiply
    6,514x = 9,772.62 × 1,897
  4. Step 4: Simplify right side
    6,514x = 18,538,660.14
  5. Step 5: Solve for x
    x = 18,538,660.14/6,514
  6. Step 6: Final answer
    x = 2,845.97

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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.