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Finding the Fourth Proportional to 2,564.93, 3,846.33 and 983.40

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Solution

The fourth proportional to 2,564.93, 3,846.33 and 983.40 is: 1,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.93 : 3,846.33 = 983.40 : x
  2. Step 2: Convert to fraction form
    2,564.93/3,846.33 = 983.40/x
  3. Step 3: Cross multiply
    2,564.93x = 3,846.33 × 983.40
  4. Step 4: Simplify right side
    2,564.93x = 3,782,480.92
  5. Step 5: Solve for x
    x = 3,782,480.92/2,564.93
  6. Step 6: Final answer
    x = 1,474.69

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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.