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Finding the Fourth Proportional to 11,772, 16,245.54 and 6,466.92

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Solution

The fourth proportional to 11,772, 16,245.54 and 6,466.92 is: 8,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772 : 16,245.54 = 6,466.92 : x
  2. Step 2: Convert to fraction form
    11,772/16,245.54 = 6,466.92/x
  3. Step 3: Cross multiply
    11,772x = 16,245.54 × 6,466.92
  4. Step 4: Simplify right side
    11,772x = 105,058,607.54
  5. Step 5: Solve for x
    x = 105,058,607.54/11,772
  6. Step 6: Final answer
    x = 8,924.45

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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.