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Finding the Fourth Proportional to 11,777.71, 17,661.95 and 4,756.41

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Solution

The fourth proportional to 11,777.71, 17,661.95 and 4,756.41 is: 7,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.71 : 17,661.95 = 4,756.41 : x
  2. Step 2: Convert to fraction form
    11,777.71/17,661.95 = 4,756.41/x
  3. Step 3: Cross multiply
    11,777.71x = 17,661.95 × 4,756.41
  4. Step 4: Simplify right side
    11,777.71x = 84,007,451.82
  5. Step 5: Solve for x
    x = 84,007,451.82/11,777.71
  6. Step 6: Final answer
    x = 7,132.75

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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.