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Finding the Fourth Proportional to 8,067.84, 12,090.40 and 6,417.06

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Solution

The fourth proportional to 8,067.84, 12,090.40 and 6,417.06 is: 9,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.84 : 12,090.40 = 6,417.06 : x
  2. Step 2: Convert to fraction form
    8,067.84/12,090.40 = 6,417.06/x
  3. Step 3: Cross multiply
    8,067.84x = 12,090.40 × 6,417.06
  4. Step 4: Simplify right side
    8,067.84x = 77,584,822.22
  5. Step 5: Solve for x
    x = 77,584,822.22/8,067.84
  6. Step 6: Final answer
    x = 9,616.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.