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Finding the Fourth Proportional to 12,418, 18,628.08 and 3,184

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Solution

The fourth proportional to 12,418, 18,628.08 and 3,184 is: 4,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,418 : 18,628.08 = 3,184 : x
  2. Step 2: Convert to fraction form
    12,418/18,628.08 = 3,184/x
  3. Step 3: Cross multiply
    12,418x = 18,628.08 × 3,184
  4. Step 4: Simplify right side
    12,418x = 59,311,806.72
  5. Step 5: Solve for x
    x = 59,311,806.72/12,418
  6. Step 6: Final answer
    x = 4,776.28

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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.