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Finding the Fourth Proportional to 12,275.64, 18,414 and 3,511.80

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Solution

The fourth proportional to 12,275.64, 18,414 and 3,511.80 is: 5,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.64 : 18,414 = 3,511.80 : x
  2. Step 2: Convert to fraction form
    12,275.64/18,414 = 3,511.80/x
  3. Step 3: Cross multiply
    12,275.64x = 18,414 × 3,511.80
  4. Step 4: Simplify right side
    12,275.64x = 64,666,285.20
  5. Step 5: Solve for x
    x = 64,666,285.20/12,275.64
  6. Step 6: Final answer
    x = 5,267.85

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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.