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Finding the Fourth Proportional to 7,836.81, 10,814 and 4,479.56

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Solution

The fourth proportional to 7,836.81, 10,814 and 4,479.56 is: 6,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.81 : 10,814 = 4,479.56 : x
  2. Step 2: Convert to fraction form
    7,836.81/10,814 = 4,479.56/x
  3. Step 3: Cross multiply
    7,836.81x = 10,814 × 4,479.56
  4. Step 4: Simplify right side
    7,836.81x = 48,441,961.84
  5. Step 5: Solve for x
    x = 48,441,961.84/7,836.81
  6. Step 6: Final answer
    x = 6,181.34

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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.