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Finding the Fourth Proportional to 8,165.36, 12,248.50 and 2,321.50

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Solution

The fourth proportional to 8,165.36, 12,248.50 and 2,321.50 is: 3,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.36 : 12,248.50 = 2,321.50 : x
  2. Step 2: Convert to fraction form
    8,165.36/12,248.50 = 2,321.50/x
  3. Step 3: Cross multiply
    8,165.36x = 12,248.50 × 2,321.50
  4. Step 4: Simplify right side
    8,165.36x = 28,434,892.75
  5. Step 5: Solve for x
    x = 28,434,892.75/8,165.36
  6. Step 6: Final answer
    x = 3,482.38

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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.