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Finding the Fourth Proportional to 12,156, 18,235.76 and 3,833.20

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Solution

The fourth proportional to 12,156, 18,235.76 and 3,833.20 is: 5,750.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156 : 18,235.76 = 3,833.20 : x
  2. Step 2: Convert to fraction form
    12,156/18,235.76 = 3,833.20/x
  3. Step 3: Cross multiply
    12,156x = 18,235.76 × 3,833.20
  4. Step 4: Simplify right side
    12,156x = 69,901,315.23
  5. Step 5: Solve for x
    x = 69,901,315.23/12,156
  6. Step 6: Final answer
    x = 5,750.35

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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.