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Finding the Fourth Proportional to 5,114.94, 7,678.92 and 3,890.22

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Solution

The fourth proportional to 5,114.94, 7,678.92 and 3,890.22 is: 5,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.94 : 7,678.92 = 3,890.22 : x
  2. Step 2: Convert to fraction form
    5,114.94/7,678.92 = 3,890.22/x
  3. Step 3: Cross multiply
    5,114.94x = 7,678.92 × 3,890.22
  4. Step 4: Simplify right side
    5,114.94x = 29,872,688.16
  5. Step 5: Solve for x
    x = 29,872,688.16/5,114.94
  6. Step 6: Final answer
    x = 5,840.28

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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.