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Finding the Fourth Proportional to 2,927.94, 4,390.92 and 2,239.08

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Solution

The fourth proportional to 2,927.94, 4,390.92 and 2,239.08 is: 3,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.94 : 4,390.92 = 2,239.08 : x
  2. Step 2: Convert to fraction form
    2,927.94/4,390.92 = 2,239.08/x
  3. Step 3: Cross multiply
    2,927.94x = 4,390.92 × 2,239.08
  4. Step 4: Simplify right side
    2,927.94x = 9,831,621.15
  5. Step 5: Solve for x
    x = 9,831,621.15/2,927.94
  6. Step 6: Final answer
    x = 3,357.86

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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.