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Finding the Fourth Proportional to 6,830.79, 10,245.72 and 1,900.47

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Solution

The fourth proportional to 6,830.79, 10,245.72 and 1,900.47 is: 2,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.79 : 10,245.72 = 1,900.47 : x
  2. Step 2: Convert to fraction form
    6,830.79/10,245.72 = 1,900.47/x
  3. Step 3: Cross multiply
    6,830.79x = 10,245.72 × 1,900.47
  4. Step 4: Simplify right side
    6,830.79x = 19,471,683.49
  5. Step 5: Solve for x
    x = 19,471,683.49/6,830.79
  6. Step 6: Final answer
    x = 2,850.58

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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.