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Finding the Fourth Proportional to 8,232, 12,346.80 and 3,036.96

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Solution

The fourth proportional to 8,232, 12,346.80 and 3,036.96 is: 4,555.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232 : 12,346.80 = 3,036.96 : x
  2. Step 2: Convert to fraction form
    8,232/12,346.80 = 3,036.96/x
  3. Step 3: Cross multiply
    8,232x = 12,346.80 × 3,036.96
  4. Step 4: Simplify right side
    8,232x = 37,496,737.73
  5. Step 5: Solve for x
    x = 37,496,737.73/8,232
  6. Step 6: Final answer
    x = 4,555.00

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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.