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Finding the Fourth Proportional to 19,190.76, 28,786.14 and 10,977

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Solution

The fourth proportional to 19,190.76, 28,786.14 and 10,977 is: 16,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,190.76 : 28,786.14 = 10,977 : x
  2. Step 2: Convert to fraction form
    19,190.76/28,786.14 = 10,977/x
  3. Step 3: Cross multiply
    19,190.76x = 28,786.14 × 10,977
  4. Step 4: Simplify right side
    19,190.76x = 315,985,458.78
  5. Step 5: Solve for x
    x = 315,985,458.78/19,190.76
  6. Step 6: Final answer
    x = 16,465.50

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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.