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Finding the Fourth Proportional to 21,787.67, 32,683.32 and 7,750.77

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Solution

The fourth proportional to 21,787.67, 32,683.32 and 7,750.77 is: 11,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,787.67 : 32,683.32 = 7,750.77 : x
  2. Step 2: Convert to fraction form
    21,787.67/32,683.32 = 7,750.77/x
  3. Step 3: Cross multiply
    21,787.67x = 32,683.32 × 7,750.77
  4. Step 4: Simplify right side
    21,787.67x = 253,320,896.16
  5. Step 5: Solve for x
    x = 253,320,896.16/21,787.67
  6. Step 6: Final answer
    x = 11,626.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.