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Finding the Fourth Proportional to 1,851.92, 2,778.16 and 927.50

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Solution

The fourth proportional to 1,851.92, 2,778.16 and 927.50 is: 1,391.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.92 : 2,778.16 = 927.50 : x
  2. Step 2: Convert to fraction form
    1,851.92/2,778.16 = 927.50/x
  3. Step 3: Cross multiply
    1,851.92x = 2,778.16 × 927.50
  4. Step 4: Simplify right side
    1,851.92x = 2,576,743.40
  5. Step 5: Solve for x
    x = 2,576,743.40/1,851.92
  6. Step 6: Final answer
    x = 1,391.39

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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.