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Finding the Fourth Proportional to 11,921.70, 16,446.81 and 7,203.25

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Solution

The fourth proportional to 11,921.70, 16,446.81 and 7,203.25 is: 9,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,921.70 : 16,446.81 = 7,203.25 : x
  2. Step 2: Convert to fraction form
    11,921.70/16,446.81 = 7,203.25/x
  3. Step 3: Cross multiply
    11,921.70x = 16,446.81 × 7,203.25
  4. Step 4: Simplify right side
    11,921.70x = 118,470,484.13
  5. Step 5: Solve for x
    x = 118,470,484.13/11,921.70
  6. Step 6: Final answer
    x = 9,937.38

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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.