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Finding the Fourth Proportional to 1,930.84, 2,896.20 and 544.18

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Solution

The fourth proportional to 1,930.84, 2,896.20 and 544.18 is: 816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.84 : 2,896.20 = 544.18 : x
  2. Step 2: Convert to fraction form
    1,930.84/2,896.20 = 544.18/x
  3. Step 3: Cross multiply
    1,930.84x = 2,896.20 × 544.18
  4. Step 4: Simplify right side
    1,930.84x = 1,576,054.12
  5. Step 5: Solve for x
    x = 1,576,054.12/1,930.84
  6. Step 6: Final answer
    x = 816.25

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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.