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Finding the Fourth Proportional to 8,772, 13,164.48 and 4,155

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Solution

The fourth proportional to 8,772, 13,164.48 and 4,155 is: 6,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,772 : 13,164.48 = 4,155 : x
  2. Step 2: Convert to fraction form
    8,772/13,164.48 = 4,155/x
  3. Step 3: Cross multiply
    8,772x = 13,164.48 × 4,155
  4. Step 4: Simplify right side
    8,772x = 54,698,414.40
  5. Step 5: Solve for x
    x = 54,698,414.40/8,772
  6. Step 6: Final answer
    x = 6,235.57

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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.