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Finding the Fourth Proportional to 3,905.82, 5,858.53 and 983.95

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Solution

The fourth proportional to 3,905.82, 5,858.53 and 983.95 is: 1,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.82 : 5,858.53 = 983.95 : x
  2. Step 2: Convert to fraction form
    3,905.82/5,858.53 = 983.95/x
  3. Step 3: Cross multiply
    3,905.82x = 5,858.53 × 983.95
  4. Step 4: Simplify right side
    3,905.82x = 5,764,483.49
  5. Step 5: Solve for x
    x = 5,764,483.49/3,905.82
  6. Step 6: Final answer
    x = 1,475.87

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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.