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Finding the Fourth Proportional to 5,245.40, 7,868.12 and 1,958.46

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Solution

The fourth proportional to 5,245.40, 7,868.12 and 1,958.46 is: 2,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.40 : 7,868.12 = 1,958.46 : x
  2. Step 2: Convert to fraction form
    5,245.40/7,868.12 = 1,958.46/x
  3. Step 3: Cross multiply
    5,245.40x = 7,868.12 × 1,958.46
  4. Step 4: Simplify right side
    5,245.40x = 15,409,403.19
  5. Step 5: Solve for x
    x = 15,409,403.19/5,245.40
  6. Step 6: Final answer
    x = 2,937.70

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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.