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Finding the Fourth Proportional to 9,112.80, 13,671.72 and 3,567.72

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Solution

The fourth proportional to 9,112.80, 13,671.72 and 3,567.72 is: 5,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112.80 : 13,671.72 = 3,567.72 : x
  2. Step 2: Convert to fraction form
    9,112.80/13,671.72 = 3,567.72/x
  3. Step 3: Cross multiply
    9,112.80x = 13,671.72 × 3,567.72
  4. Step 4: Simplify right side
    9,112.80x = 48,776,868.88
  5. Step 5: Solve for x
    x = 48,776,868.88/9,112.80
  6. Step 6: Final answer
    x = 5,352.57

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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.