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Finding the Fourth Proportional to 11,905.92, 16,427.07 and 7,123.82

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Solution

The fourth proportional to 11,905.92, 16,427.07 and 7,123.82 is: 9,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.92 : 16,427.07 = 7,123.82 : x
  2. Step 2: Convert to fraction form
    11,905.92/16,427.07 = 7,123.82/x
  3. Step 3: Cross multiply
    11,905.92x = 16,427.07 × 7,123.82
  4. Step 4: Simplify right side
    11,905.92x = 117,023,407.67
  5. Step 5: Solve for x
    x = 117,023,407.67/11,905.92
  6. Step 6: Final answer
    x = 9,829.01

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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.