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Finding the Fourth Proportional to 11,852.35, 16,355.57 and 7,077.68

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Solution

The fourth proportional to 11,852.35, 16,355.57 and 7,077.68 is: 9,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.35 : 16,355.57 = 7,077.68 : x
  2. Step 2: Convert to fraction form
    11,852.35/16,355.57 = 7,077.68/x
  3. Step 3: Cross multiply
    11,852.35x = 16,355.57 × 7,077.68
  4. Step 4: Simplify right side
    11,852.35x = 115,759,490.68
  5. Step 5: Solve for x
    x = 115,759,490.68/11,852.35
  6. Step 6: Final answer
    x = 9,766.80

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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.