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Finding the Fourth Proportional to 9,011, 13,516.50 and 2,855

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Solution

The fourth proportional to 9,011, 13,516.50 and 2,855 is: 4,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011 : 13,516.50 = 2,855 : x
  2. Step 2: Convert to fraction form
    9,011/13,516.50 = 2,855/x
  3. Step 3: Cross multiply
    9,011x = 13,516.50 × 2,855
  4. Step 4: Simplify right side
    9,011x = 38,589,607.50
  5. Step 5: Solve for x
    x = 38,589,607.50/9,011
  6. Step 6: Final answer
    x = 4,282.50

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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.