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Finding the Fourth Proportional to 11,679.60, 16,117.74 and 7,201.56

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Solution

The fourth proportional to 11,679.60, 16,117.74 and 7,201.56 is: 9,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.60 : 16,117.74 = 7,201.56 : x
  2. Step 2: Convert to fraction form
    11,679.60/16,117.74 = 7,201.56/x
  3. Step 3: Cross multiply
    11,679.60x = 16,117.74 × 7,201.56
  4. Step 4: Simplify right side
    11,679.60x = 116,072,871.67
  5. Step 5: Solve for x
    x = 116,072,871.67/11,679.60
  6. Step 6: Final answer
    x = 9,938.09

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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.