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Finding the Fourth Proportional to 5,120, 7,684.32 and 2,042

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Solution

The fourth proportional to 5,120, 7,684.32 and 2,042 is: 3,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120 : 7,684.32 = 2,042 : x
  2. Step 2: Convert to fraction form
    5,120/7,684.32 = 2,042/x
  3. Step 3: Cross multiply
    5,120x = 7,684.32 × 2,042
  4. Step 4: Simplify right side
    5,120x = 15,691,381.44
  5. Step 5: Solve for x
    x = 15,691,381.44/5,120
  6. Step 6: Final answer
    x = 3,064.72

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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.