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Finding the Fourth Proportional to 7,938, 10,954.44 and 4,401.76

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Solution

The fourth proportional to 7,938, 10,954.44 and 4,401.76 is: 6,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938 : 10,954.44 = 4,401.76 : x
  2. Step 2: Convert to fraction form
    7,938/10,954.44 = 4,401.76/x
  3. Step 3: Cross multiply
    7,938x = 10,954.44 × 4,401.76
  4. Step 4: Simplify right side
    7,938x = 48,218,815.81
  5. Step 5: Solve for x
    x = 48,218,815.81/7,938
  6. Step 6: Final answer
    x = 6,074.43

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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.