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Finding the Fourth Proportional to 2,858.13, 4,286.99 and 983.84

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Solution

The fourth proportional to 2,858.13, 4,286.99 and 983.84 is: 1,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.13 : 4,286.99 = 983.84 : x
  2. Step 2: Convert to fraction form
    2,858.13/4,286.99 = 983.84/x
  3. Step 3: Cross multiply
    2,858.13x = 4,286.99 × 983.84
  4. Step 4: Simplify right side
    2,858.13x = 4,217,685.89
  5. Step 5: Solve for x
    x = 4,217,685.89/2,858.13
  6. Step 6: Final answer
    x = 1,475.68

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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.