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Finding the Fourth Proportional to 8,724.97, 12,043.55 and 5,188.16

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Solution

The fourth proportional to 8,724.97, 12,043.55 and 5,188.16 is: 7,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.97 : 12,043.55 = 5,188.16 : x
  2. Step 2: Convert to fraction form
    8,724.97/12,043.55 = 5,188.16/x
  3. Step 3: Cross multiply
    8,724.97x = 12,043.55 × 5,188.16
  4. Step 4: Simplify right side
    8,724.97x = 62,483,838.43
  5. Step 5: Solve for x
    x = 62,483,838.43/8,724.97
  6. Step 6: Final answer
    x = 7,161.50

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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.