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Finding the Fourth Proportional to 7,850.76, 10,835.58 and 5,198.28

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Solution

The fourth proportional to 7,850.76, 10,835.58 and 5,198.28 is: 7,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.76 : 10,835.58 = 5,198.28 : x
  2. Step 2: Convert to fraction form
    7,850.76/10,835.58 = 5,198.28/x
  3. Step 3: Cross multiply
    7,850.76x = 10,835.58 × 5,198.28
  4. Step 4: Simplify right side
    7,850.76x = 56,326,378.80
  5. Step 5: Solve for x
    x = 56,326,378.80/7,850.76
  6. Step 6: Final answer
    x = 7,174.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.