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Finding the Fourth Proportional to 7,691.95, 11,539.14 and 2,762.80

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Solution

The fourth proportional to 7,691.95, 11,539.14 and 2,762.80 is: 4,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.95 : 11,539.14 = 2,762.80 : x
  2. Step 2: Convert to fraction form
    7,691.95/11,539.14 = 2,762.80/x
  3. Step 3: Cross multiply
    7,691.95x = 11,539.14 × 2,762.80
  4. Step 4: Simplify right side
    7,691.95x = 31,880,335.99
  5. Step 5: Solve for x
    x = 31,880,335.99/7,691.95
  6. Step 6: Final answer
    x = 4,144.64

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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.