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Finding the Fourth Proportional to 12,336, 18,487.80 and 5,670

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Solution

The fourth proportional to 12,336, 18,487.80 and 5,670 is: 8,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336 : 18,487.80 = 5,670 : x
  2. Step 2: Convert to fraction form
    12,336/18,487.80 = 5,670/x
  3. Step 3: Cross multiply
    12,336x = 18,487.80 × 5,670
  4. Step 4: Simplify right side
    12,336x = 104,825,826
  5. Step 5: Solve for x
    x = 104,825,826/12,336
  6. Step 6: Final answer
    x = 8,497.55

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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.