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Finding the Fourth Proportional to 8,705.68, 11,993.88 and 7,144

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Solution

The fourth proportional to 8,705.68, 11,993.88 and 7,144 is: 9,842.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,705.68 : 11,993.88 = 7,144 : x
  2. Step 2: Convert to fraction form
    8,705.68/11,993.88 = 7,144/x
  3. Step 3: Cross multiply
    8,705.68x = 11,993.88 × 7,144
  4. Step 4: Simplify right side
    8,705.68x = 85,684,278.72
  5. Step 5: Solve for x
    x = 85,684,278.72/8,705.68
  6. Step 6: Final answer
    x = 9,842.34

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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.