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Finding the Fourth Proportional to 5,222.50, 7,835.50 and 1,935.85

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Solution

The fourth proportional to 5,222.50, 7,835.50 and 1,935.85 is: 2,904.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.50 : 7,835.50 = 1,935.85 : x
  2. Step 2: Convert to fraction form
    5,222.50/7,835.50 = 1,935.85/x
  3. Step 3: Cross multiply
    5,222.50x = 7,835.50 × 1,935.85
  4. Step 4: Simplify right side
    5,222.50x = 15,168,352.68
  5. Step 5: Solve for x
    x = 15,168,352.68/5,222.50
  6. Step 6: Final answer
    x = 2,904.42

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1.5x scale

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.