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Finding the Fourth Proportional to 2,927.81, 4,392.14 and 1,078.77

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Solution

The fourth proportional to 2,927.81, 4,392.14 and 1,078.77 is: 1,618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.81 : 4,392.14 = 1,078.77 : x
  2. Step 2: Convert to fraction form
    2,927.81/4,392.14 = 1,078.77/x
  3. Step 3: Cross multiply
    2,927.81x = 4,392.14 × 1,078.77
  4. Step 4: Simplify right side
    2,927.81x = 4,738,103.47
  5. Step 5: Solve for x
    x = 4,738,103.47/2,927.81
  6. Step 6: Final answer
    x = 1,618.31

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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.