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Finding the Fourth Proportional to 8,963.51, 12,366.62 and 6,409.13

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Solution

The fourth proportional to 8,963.51, 12,366.62 and 6,409.13 is: 8,842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.51 : 12,366.62 = 6,409.13 : x
  2. Step 2: Convert to fraction form
    8,963.51/12,366.62 = 6,409.13/x
  3. Step 3: Cross multiply
    8,963.51x = 12,366.62 × 6,409.13
  4. Step 4: Simplify right side
    8,963.51x = 79,259,241.45
  5. Step 5: Solve for x
    x = 79,259,241.45/8,963.51
  6. Step 6: Final answer
    x = 8,842.43

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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.