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Finding the Fourth Proportional to 7,242.81, 9,994.97 and 3,930.81

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Solution

The fourth proportional to 7,242.81, 9,994.97 and 3,930.81 is: 5,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.81 : 9,994.97 = 3,930.81 : x
  2. Step 2: Convert to fraction form
    7,242.81/9,994.97 = 3,930.81/x
  3. Step 3: Cross multiply
    7,242.81x = 9,994.97 × 3,930.81
  4. Step 4: Simplify right side
    7,242.81x = 39,288,308.37
  5. Step 5: Solve for x
    x = 39,288,308.37/7,242.81
  6. Step 6: Final answer
    x = 5,424.46

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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.