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Finding the Fourth Proportional to 5,148, 7,722 and 3,500.46

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Solution

The fourth proportional to 5,148, 7,722 and 3,500.46 is: 5,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148 : 7,722 = 3,500.46 : x
  2. Step 2: Convert to fraction form
    5,148/7,722 = 3,500.46/x
  3. Step 3: Cross multiply
    5,148x = 7,722 × 3,500.46
  4. Step 4: Simplify right side
    5,148x = 27,030,552.12
  5. Step 5: Solve for x
    x = 27,030,552.12/5,148
  6. Step 6: Final answer
    x = 5,250.69

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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.