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Finding the Fourth Proportional to 11,640.28, 17,460.42 and 9,905.26

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Solution

The fourth proportional to 11,640.28, 17,460.42 and 9,905.26 is: 14,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.28 : 17,460.42 = 9,905.26 : x
  2. Step 2: Convert to fraction form
    11,640.28/17,460.42 = 9,905.26/x
  3. Step 3: Cross multiply
    11,640.28x = 17,460.42 × 9,905.26
  4. Step 4: Simplify right side
    11,640.28x = 172,949,999.81
  5. Step 5: Solve for x
    x = 172,949,999.81/11,640.28
  6. Step 6: Final answer
    x = 14,857.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.