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Finding the Fourth Proportional to 7,770.47, 11,649.96 and 3,820.50

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Solution

The fourth proportional to 7,770.47, 11,649.96 and 3,820.50 is: 5,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.47 : 11,649.96 = 3,820.50 : x
  2. Step 2: Convert to fraction form
    7,770.47/11,649.96 = 3,820.50/x
  3. Step 3: Cross multiply
    7,770.47x = 11,649.96 × 3,820.50
  4. Step 4: Simplify right side
    7,770.47x = 44,508,672.18
  5. Step 5: Solve for x
    x = 44,508,672.18/7,770.47
  6. Step 6: Final answer
    x = 5,727.93

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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.