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Finding the Fourth Proportional to 8,308, 12,462.72 and 2,152

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Solution

The fourth proportional to 8,308, 12,462.72 and 2,152 is: 3,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308 : 12,462.72 = 2,152 : x
  2. Step 2: Convert to fraction form
    8,308/12,462.72 = 2,152/x
  3. Step 3: Cross multiply
    8,308x = 12,462.72 × 2,152
  4. Step 4: Simplify right side
    8,308x = 26,819,773.44
  5. Step 5: Solve for x
    x = 26,819,773.44/8,308
  6. Step 6: Final answer
    x = 3,228.19

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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.