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Finding the Fourth Proportional to 11,943.04, 17,917.62 and 8,440

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Solution

The fourth proportional to 11,943.04, 17,917.62 and 8,440 is: 12,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.04 : 17,917.62 = 8,440 : x
  2. Step 2: Convert to fraction form
    11,943.04/17,917.62 = 8,440/x
  3. Step 3: Cross multiply
    11,943.04x = 17,917.62 × 8,440
  4. Step 4: Simplify right side
    11,943.04x = 151,224,712.80
  5. Step 5: Solve for x
    x = 151,224,712.80/11,943.04
  6. Step 6: Final answer
    x = 12,662.16

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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.