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Finding the Fourth Proportional to 12,538.50, 18,816.39 and 4,330.50

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Solution

The fourth proportional to 12,538.50, 18,816.39 and 4,330.50 is: 6,498.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.50 : 18,816.39 = 4,330.50 : x
  2. Step 2: Convert to fraction form
    12,538.50/18,816.39 = 4,330.50/x
  3. Step 3: Cross multiply
    12,538.50x = 18,816.39 × 4,330.50
  4. Step 4: Simplify right side
    12,538.50x = 81,484,376.90
  5. Step 5: Solve for x
    x = 81,484,376.90/12,538.50
  6. Step 6: Final answer
    x = 6,498.73

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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.