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Finding the Fourth Proportional to 7,171.76, 10,757.64 and 1,977.68

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Solution

The fourth proportional to 7,171.76, 10,757.64 and 1,977.68 is: 2,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.76 : 10,757.64 = 1,977.68 : x
  2. Step 2: Convert to fraction form
    7,171.76/10,757.64 = 1,977.68/x
  3. Step 3: Cross multiply
    7,171.76x = 10,757.64 × 1,977.68
  4. Step 4: Simplify right side
    7,171.76x = 21,275,169.48
  5. Step 5: Solve for x
    x = 21,275,169.48/7,171.76
  6. Step 6: Final answer
    x = 2,966.52

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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.