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Finding the Fourth Proportional to 7,718.50, 11,578.32 and 3,101.50

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Solution

The fourth proportional to 7,718.50, 11,578.32 and 3,101.50 is: 4,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.50 : 11,578.32 = 3,101.50 : x
  2. Step 2: Convert to fraction form
    7,718.50/11,578.32 = 3,101.50/x
  3. Step 3: Cross multiply
    7,718.50x = 11,578.32 × 3,101.50
  4. Step 4: Simplify right side
    7,718.50x = 35,910,159.48
  5. Step 5: Solve for x
    x = 35,910,159.48/7,718.50
  6. Step 6: Final answer
    x = 4,652.48

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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.