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Finding the Fourth Proportional to 8,169, 12,253.50 and 2,013

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Solution

The fourth proportional to 8,169, 12,253.50 and 2,013 is: 3,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169 : 12,253.50 = 2,013 : x
  2. Step 2: Convert to fraction form
    8,169/12,253.50 = 2,013/x
  3. Step 3: Cross multiply
    8,169x = 12,253.50 × 2,013
  4. Step 4: Simplify right side
    8,169x = 24,666,295.50
  5. Step 5: Solve for x
    x = 24,666,295.50/8,169
  6. Step 6: Final answer
    x = 3,019.50

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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.