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Finding the Fourth Proportional to 11,971.76, 17,957.65 and 3,763.76

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Solution

The fourth proportional to 11,971.76, 17,957.65 and 3,763.76 is: 5,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.76 : 17,957.65 = 3,763.76 : x
  2. Step 2: Convert to fraction form
    11,971.76/17,957.65 = 3,763.76/x
  3. Step 3: Cross multiply
    11,971.76x = 17,957.65 × 3,763.76
  4. Step 4: Simplify right side
    11,971.76x = 67,588,284.76
  5. Step 5: Solve for x
    x = 67,588,284.76/11,971.76
  6. Step 6: Final answer
    x = 5,645.64

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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.