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Finding the Fourth Proportional to 7,278.86, 10,918.29 and 5,811.14

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Solution

The fourth proportional to 7,278.86, 10,918.29 and 5,811.14 is: 8,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278.86 : 10,918.29 = 5,811.14 : x
  2. Step 2: Convert to fraction form
    7,278.86/10,918.29 = 5,811.14/x
  3. Step 3: Cross multiply
    7,278.86x = 10,918.29 × 5,811.14
  4. Step 4: Simplify right side
    7,278.86x = 63,447,676.31
  5. Step 5: Solve for x
    x = 63,447,676.31/7,278.86
  6. Step 6: Final answer
    x = 8,716.71

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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.