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Finding the Fourth Proportional to 12,284, 18,426.20 and 4,492.76

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Solution

The fourth proportional to 12,284, 18,426.20 and 4,492.76 is: 6,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284 : 18,426.20 = 4,492.76 : x
  2. Step 2: Convert to fraction form
    12,284/18,426.20 = 4,492.76/x
  3. Step 3: Cross multiply
    12,284x = 18,426.20 × 4,492.76
  4. Step 4: Simplify right side
    12,284x = 82,784,494.31
  5. Step 5: Solve for x
    x = 82,784,494.31/12,284
  6. Step 6: Final answer
    x = 6,739.21

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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.