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Finding the Fourth Proportional to 11,364.30, 17,042.81 and 9,906.30

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Solution

The fourth proportional to 11,364.30, 17,042.81 and 9,906.30 is: 14,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.30 : 17,042.81 = 9,906.30 : x
  2. Step 2: Convert to fraction form
    11,364.30/17,042.81 = 9,906.30/x
  3. Step 3: Cross multiply
    11,364.30x = 17,042.81 × 9,906.30
  4. Step 4: Simplify right side
    11,364.30x = 168,831,139.17
  5. Step 5: Solve for x
    x = 168,831,139.17/11,364.30
  6. Step 6: Final answer
    x = 14,856.27

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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.