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Finding the Fourth Proportional to 7,778.53, 10,734.37 and 4,241.77

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Solution

The fourth proportional to 7,778.53, 10,734.37 and 4,241.77 is: 5,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.53 : 10,734.37 = 4,241.77 : x
  2. Step 2: Convert to fraction form
    7,778.53/10,734.37 = 4,241.77/x
  3. Step 3: Cross multiply
    7,778.53x = 10,734.37 × 4,241.77
  4. Step 4: Simplify right side
    7,778.53x = 45,532,715.05
  5. Step 5: Solve for x
    x = 45,532,715.05/7,778.53
  6. Step 6: Final answer
    x = 5,853.64

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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.