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Finding the Fourth Proportional to 8,766, 13,153.78 and 5,075.44

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Solution

The fourth proportional to 8,766, 13,153.78 and 5,075.44 is: 7,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766 : 13,153.78 = 5,075.44 : x
  2. Step 2: Convert to fraction form
    8,766/13,153.78 = 5,075.44/x
  3. Step 3: Cross multiply
    8,766x = 13,153.78 × 5,075.44
  4. Step 4: Simplify right side
    8,766x = 66,761,155.39
  5. Step 5: Solve for x
    x = 66,761,155.39/8,766
  6. Step 6: Final answer
    x = 7,615.92

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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.