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Finding the Fourth Proportional to 3,983.68, 5,977.68 and 1,675.12

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Solution

The fourth proportional to 3,983.68, 5,977.68 and 1,675.12 is: 2,513.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.68 : 5,977.68 = 1,675.12 : x
  2. Step 2: Convert to fraction form
    3,983.68/5,977.68 = 1,675.12/x
  3. Step 3: Cross multiply
    3,983.68x = 5,977.68 × 1,675.12
  4. Step 4: Simplify right side
    3,983.68x = 10,013,331.32
  5. Step 5: Solve for x
    x = 10,013,331.32/3,983.68
  6. Step 6: Final answer
    x = 2,513.59

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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.