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Finding the Fourth Proportional to 3,092.46, 4,638.72 and 783.96

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Solution

The fourth proportional to 3,092.46, 4,638.72 and 783.96 is: 1,175.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.46 : 4,638.72 = 783.96 : x
  2. Step 2: Convert to fraction form
    3,092.46/4,638.72 = 783.96/x
  3. Step 3: Cross multiply
    3,092.46x = 4,638.72 × 783.96
  4. Step 4: Simplify right side
    3,092.46x = 3,636,570.93
  5. Step 5: Solve for x
    x = 3,636,570.93/3,092.46
  6. Step 6: Final answer
    x = 1,175.95

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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.