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Finding the Fourth Proportional to 8,049, 11,114.36 and 6,056.08

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Solution

The fourth proportional to 8,049, 11,114.36 and 6,056.08 is: 8,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049 : 11,114.36 = 6,056.08 : x
  2. Step 2: Convert to fraction form
    8,049/11,114.36 = 6,056.08/x
  3. Step 3: Cross multiply
    8,049x = 11,114.36 × 6,056.08
  4. Step 4: Simplify right side
    8,049x = 67,309,453.31
  5. Step 5: Solve for x
    x = 67,309,453.31/8,049
  6. Step 6: Final answer
    x = 8,362.46

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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.