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Finding the Fourth Proportional to 7,135.66, 10,703.50 and 3,850.30

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Solution

The fourth proportional to 7,135.66, 10,703.50 and 3,850.30 is: 5,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.66 : 10,703.50 = 3,850.30 : x
  2. Step 2: Convert to fraction form
    7,135.66/10,703.50 = 3,850.30/x
  3. Step 3: Cross multiply
    7,135.66x = 10,703.50 × 3,850.30
  4. Step 4: Simplify right side
    7,135.66x = 41,211,686.05
  5. Step 5: Solve for x
    x = 41,211,686.05/7,135.66
  6. Step 6: Final answer
    x = 5,775.46

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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.