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Finding the Fourth Proportional to 11,969.76, 17,957.22 and 3,649.55

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Solution

The fourth proportional to 11,969.76, 17,957.22 and 3,649.55 is: 5,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.76 : 17,957.22 = 3,649.55 : x
  2. Step 2: Convert to fraction form
    11,969.76/17,957.22 = 3,649.55/x
  3. Step 3: Cross multiply
    11,969.76x = 17,957.22 × 3,649.55
  4. Step 4: Simplify right side
    11,969.76x = 65,535,682.46
  5. Step 5: Solve for x
    x = 65,535,682.46/11,969.76
  6. Step 6: Final answer
    x = 5,475.10

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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.