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Finding the Fourth Proportional to 11,968.86, 17,953.32 and 3,203.76

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Solution

The fourth proportional to 11,968.86, 17,953.32 and 3,203.76 is: 4,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.86 : 17,953.32 = 3,203.76 : x
  2. Step 2: Convert to fraction form
    11,968.86/17,953.32 = 3,203.76/x
  3. Step 3: Cross multiply
    11,968.86x = 17,953.32 × 3,203.76
  4. Step 4: Simplify right side
    11,968.86x = 57,518,128.48
  5. Step 5: Solve for x
    x = 57,518,128.48/11,968.86
  6. Step 6: Final answer
    x = 4,805.65

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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.