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Finding the Fourth Proportional to 7,892.89, 10,896.12 and 4,909.68

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Solution

The fourth proportional to 7,892.89, 10,896.12 and 4,909.68 is: 6,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.89 : 10,896.12 = 4,909.68 : x
  2. Step 2: Convert to fraction form
    7,892.89/10,896.12 = 4,909.68/x
  3. Step 3: Cross multiply
    7,892.89x = 10,896.12 × 4,909.68
  4. Step 4: Simplify right side
    7,892.89x = 53,496,462.44
  5. Step 5: Solve for x
    x = 53,496,462.44/7,892.89
  6. Step 6: Final answer
    x = 6,777.81

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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.