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Finding the Fourth Proportional to 11,308, 16,961.96 and 7,411.50

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Solution

The fourth proportional to 11,308, 16,961.96 and 7,411.50 is: 11,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308 : 16,961.96 = 7,411.50 : x
  2. Step 2: Convert to fraction form
    11,308/16,961.96 = 7,411.50/x
  3. Step 3: Cross multiply
    11,308x = 16,961.96 × 7,411.50
  4. Step 4: Simplify right side
    11,308x = 125,713,566.54
  5. Step 5: Solve for x
    x = 125,713,566.54/11,308
  6. Step 6: Final answer
    x = 11,117.22

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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.