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Finding the Fourth Proportional to 5,245.32, 7,869.34 and 1,958.44

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Solution

The fourth proportional to 5,245.32, 7,869.34 and 1,958.44 is: 2,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.32 : 7,869.34 = 1,958.44 : x
  2. Step 2: Convert to fraction form
    5,245.32/7,869.34 = 1,958.44/x
  3. Step 3: Cross multiply
    5,245.32x = 7,869.34 × 1,958.44
  4. Step 4: Simplify right side
    5,245.32x = 15,411,630.23
  5. Step 5: Solve for x
    x = 15,411,630.23/5,245.32
  6. Step 6: Final answer
    x = 2,938.17

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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.