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Finding the Fourth Proportional to 3,580.88, 5,371.34 and 983.84

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Solution

The fourth proportional to 3,580.88, 5,371.34 and 983.84 is: 1,475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.88 : 5,371.34 = 983.84 : x
  2. Step 2: Convert to fraction form
    3,580.88/5,371.34 = 983.84/x
  3. Step 3: Cross multiply
    3,580.88x = 5,371.34 × 983.84
  4. Step 4: Simplify right side
    3,580.88x = 5,284,507.37
  5. Step 5: Solve for x
    x = 5,284,507.37/3,580.88
  6. Step 6: Final answer
    x = 1,475.76

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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.