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Finding the Fourth Proportional to 11,581.28, 17,293.80 and 11,459.20

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Solution

The fourth proportional to 11,581.28, 17,293.80 and 11,459.20 is: 17,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.28 : 17,293.80 = 11,459.20 : x
  2. Step 2: Convert to fraction form
    11,581.28/17,293.80 = 11,459.20/x
  3. Step 3: Cross multiply
    11,581.28x = 17,293.80 × 11,459.20
  4. Step 4: Simplify right side
    11,581.28x = 198,173,112.96
  5. Step 5: Solve for x
    x = 198,173,112.96/11,581.28
  6. Step 6: Final answer
    x = 17,111.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.