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Finding the Fourth Proportional to 9,150.66, 13,724.16 and 5,403.84

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Solution

The fourth proportional to 9,150.66, 13,724.16 and 5,403.84 is: 8,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.66 : 13,724.16 = 5,403.84 : x
  2. Step 2: Convert to fraction form
    9,150.66/13,724.16 = 5,403.84/x
  3. Step 3: Cross multiply
    9,150.66x = 13,724.16 × 5,403.84
  4. Step 4: Simplify right side
    9,150.66x = 74,163,164.77
  5. Step 5: Solve for x
    x = 74,163,164.77/9,150.66
  6. Step 6: Final answer
    x = 8,104.68

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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.