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Finding the Fourth Proportional to 7,770.65, 11,649.54 and 3,087.77

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Solution

The fourth proportional to 7,770.65, 11,649.54 and 3,087.77 is: 4,629.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.65 : 11,649.54 = 3,087.77 : x
  2. Step 2: Convert to fraction form
    7,770.65/11,649.54 = 3,087.77/x
  3. Step 3: Cross multiply
    7,770.65x = 11,649.54 × 3,087.77
  4. Step 4: Simplify right side
    7,770.65x = 35,971,100.13
  5. Step 5: Solve for x
    x = 35,971,100.13/7,770.65
  6. Step 6: Final answer
    x = 4,629.10

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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.