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Finding the Fourth Proportional to 12,657.84, 18,975.99 and 7,730.94

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Solution

The fourth proportional to 12,657.84, 18,975.99 and 7,730.94 is: 11,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.84 : 18,975.99 = 7,730.94 : x
  2. Step 2: Convert to fraction form
    12,657.84/18,975.99 = 7,730.94/x
  3. Step 3: Cross multiply
    12,657.84x = 18,975.99 × 7,730.94
  4. Step 4: Simplify right side
    12,657.84x = 146,702,240.13
  5. Step 5: Solve for x
    x = 146,702,240.13/12,657.84
  6. Step 6: Final answer
    x = 11,589.83

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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.