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Finding the Fourth Proportional to 11,883.78, 16,399.06 and 6,848.15

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Solution

The fourth proportional to 11,883.78, 16,399.06 and 6,848.15 is: 9,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.78 : 16,399.06 = 6,848.15 : x
  2. Step 2: Convert to fraction form
    11,883.78/16,399.06 = 6,848.15/x
  3. Step 3: Cross multiply
    11,883.78x = 16,399.06 × 6,848.15
  4. Step 4: Simplify right side
    11,883.78x = 112,303,123.62
  5. Step 5: Solve for x
    x = 112,303,123.62/11,883.78
  6. Step 6: Final answer
    x = 9,450.12

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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.