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Finding the Fourth Proportional to 14,866.56, 20,520 and 9,203.04

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Solution

The fourth proportional to 14,866.56, 20,520 and 9,203.04 is: 12,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.56 : 20,520 = 9,203.04 : x
  2. Step 2: Convert to fraction form
    14,866.56/20,520 = 9,203.04/x
  3. Step 3: Cross multiply
    14,866.56x = 20,520 × 9,203.04
  4. Step 4: Simplify right side
    14,866.56x = 188,846,380.80
  5. Step 5: Solve for x
    x = 188,846,380.80/14,866.56
  6. Step 6: Final answer
    x = 12,702.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.