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Finding the Fourth Proportional to 11,812.32, 16,301.64 and 7,100.64

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Solution

The fourth proportional to 11,812.32, 16,301.64 and 7,100.64 is: 9,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.32 : 16,301.64 = 7,100.64 : x
  2. Step 2: Convert to fraction form
    11,812.32/16,301.64 = 7,100.64/x
  3. Step 3: Cross multiply
    11,812.32x = 16,301.64 × 7,100.64
  4. Step 4: Simplify right side
    11,812.32x = 115,752,077.05
  5. Step 5: Solve for x
    x = 115,752,077.05/11,812.32
  6. Step 6: Final answer
    x = 9,799.27

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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.