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Finding the Fourth Proportional to 8,192.78, 11,306.01 and 4,466.78

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Solution

The fourth proportional to 8,192.78, 11,306.01 and 4,466.78 is: 6,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.78 : 11,306.01 = 4,466.78 : x
  2. Step 2: Convert to fraction form
    8,192.78/11,306.01 = 4,466.78/x
  3. Step 3: Cross multiply
    8,192.78x = 11,306.01 × 4,466.78
  4. Step 4: Simplify right side
    8,192.78x = 50,501,459.35
  5. Step 5: Solve for x
    x = 50,501,459.35/8,192.78
  6. Step 6: Final answer
    x = 6,164.14

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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.