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Finding the Fourth Proportional to 7,656.92, 11,488.48 and 5,190.33

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Solution

The fourth proportional to 7,656.92, 11,488.48 and 5,190.33 is: 7,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.92 : 11,488.48 = 5,190.33 : x
  2. Step 2: Convert to fraction form
    7,656.92/11,488.48 = 5,190.33/x
  3. Step 3: Cross multiply
    7,656.92x = 11,488.48 × 5,190.33
  4. Step 4: Simplify right side
    7,656.92x = 59,628,989.42
  5. Step 5: Solve for x
    x = 59,628,989.42/7,656.92
  6. Step 6: Final answer
    x = 7,787.60

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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.