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Finding the Fourth Proportional to 12,520, 18,753.12 and 8,124.64

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Solution

The fourth proportional to 12,520, 18,753.12 and 8,124.64 is: 12,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,520 : 18,753.12 = 8,124.64 : x
  2. Step 2: Convert to fraction form
    12,520/18,753.12 = 8,124.64/x
  3. Step 3: Cross multiply
    12,520x = 18,753.12 × 8,124.64
  4. Step 4: Simplify right side
    12,520x = 152,362,348.88
  5. Step 5: Solve for x
    x = 152,362,348.88/12,520
  6. Step 6: Final answer
    x = 12,169.52

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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.