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Finding the Fourth Proportional to 8,564.42, 11,817.80 and 4,787.80

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Solution

The fourth proportional to 8,564.42, 11,817.80 and 4,787.80 is: 6,606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.42 : 11,817.80 = 4,787.80 : x
  2. Step 2: Convert to fraction form
    8,564.42/11,817.80 = 4,787.80/x
  3. Step 3: Cross multiply
    8,564.42x = 11,817.80 × 4,787.80
  4. Step 4: Simplify right side
    8,564.42x = 56,581,227.31
  5. Step 5: Solve for x
    x = 56,581,227.31/8,564.42
  6. Step 6: Final answer
    x = 6,606.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.