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Finding the Fourth Proportional to 1,930.76, 2,896.30 and 544.10

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Solution

The fourth proportional to 1,930.76, 2,896.30 and 544.10 is: 816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.76 : 2,896.30 = 544.10 : x
  2. Step 2: Convert to fraction form
    1,930.76/2,896.30 = 544.10/x
  3. Step 3: Cross multiply
    1,930.76x = 2,896.30 × 544.10
  4. Step 4: Simplify right side
    1,930.76x = 1,575,876.83
  5. Step 5: Solve for x
    x = 1,575,876.83/1,930.76
  6. Step 6: Final answer
    x = 816.20

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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.