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Finding the Fourth Proportional to 7,762.17, 11,643.18 and 3,081.99

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Solution

The fourth proportional to 7,762.17, 11,643.18 and 3,081.99 is: 4,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.17 : 11,643.18 = 3,081.99 : x
  2. Step 2: Convert to fraction form
    7,762.17/11,643.18 = 3,081.99/x
  3. Step 3: Cross multiply
    7,762.17x = 11,643.18 × 3,081.99
  4. Step 4: Simplify right side
    7,762.17x = 35,884,164.33
  5. Step 5: Solve for x
    x = 35,884,164.33/7,762.17
  6. Step 6: Final answer
    x = 4,622.96

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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.