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Finding the Fourth Proportional to 3,905.50, 5,857.80 and 983.60

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Solution

The fourth proportional to 3,905.50, 5,857.80 and 983.60 is: 1,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.50 : 5,857.80 = 983.60 : x
  2. Step 2: Convert to fraction form
    3,905.50/5,857.80 = 983.60/x
  3. Step 3: Cross multiply
    3,905.50x = 5,857.80 × 983.60
  4. Step 4: Simplify right side
    3,905.50x = 5,761,732.08
  5. Step 5: Solve for x
    x = 5,761,732.08/3,905.50
  6. Step 6: Final answer
    x = 1,475.29

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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.