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Finding the Fourth Proportional to 8,468.51, 12,654.25 and 6,456.14

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Solution

The fourth proportional to 8,468.51, 12,654.25 and 6,456.14 is: 9,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.51 : 12,654.25 = 6,456.14 : x
  2. Step 2: Convert to fraction form
    8,468.51/12,654.25 = 6,456.14/x
  3. Step 3: Cross multiply
    8,468.51x = 12,654.25 × 6,456.14
  4. Step 4: Simplify right side
    8,468.51x = 81,697,609.60
  5. Step 5: Solve for x
    x = 81,697,609.60/8,468.51
  6. Step 6: Final answer
    x = 9,647.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.