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Finding the Fourth Proportional to 9,776.73, 13,498.13 and 6,425.49

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Solution

The fourth proportional to 9,776.73, 13,498.13 and 6,425.49 is: 8,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.73 : 13,498.13 = 6,425.49 : x
  2. Step 2: Convert to fraction form
    9,776.73/13,498.13 = 6,425.49/x
  3. Step 3: Cross multiply
    9,776.73x = 13,498.13 × 6,425.49
  4. Step 4: Simplify right side
    9,776.73x = 86,732,067.21
  5. Step 5: Solve for x
    x = 86,732,067.21/9,776.73
  6. Step 6: Final answer
    x = 8,871.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.