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Finding the Fourth Proportional to 11,777, 17,624.77 and 7,272.21

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Solution

The fourth proportional to 11,777, 17,624.77 and 7,272.21 is: 10,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777 : 17,624.77 = 7,272.21 : x
  2. Step 2: Convert to fraction form
    11,777/17,624.77 = 7,272.21/x
  3. Step 3: Cross multiply
    11,777x = 17,624.77 × 7,272.21
  4. Step 4: Simplify right side
    11,777x = 128,170,966.40
  5. Step 5: Solve for x
    x = 128,170,966.40/11,777
  6. Step 6: Final answer
    x = 10,883.16

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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.