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Finding the Fourth Proportional to 7,808.42, 11,724.52 and 6,820.68

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Solution

The fourth proportional to 7,808.42, 11,724.52 and 6,820.68 is: 10,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.42 : 11,724.52 = 6,820.68 : x
  2. Step 2: Convert to fraction form
    7,808.42/11,724.52 = 6,820.68/x
  3. Step 3: Cross multiply
    7,808.42x = 11,724.52 × 6,820.68
  4. Step 4: Simplify right side
    7,808.42x = 79,969,199.07
  5. Step 5: Solve for x
    x = 79,969,199.07/7,808.42
  6. Step 6: Final answer
    x = 10,241.41

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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.