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Finding the Fourth Proportional to 5,179, 7,768.38 and 1,283.44

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Solution

The fourth proportional to 5,179, 7,768.38 and 1,283.44 is: 1,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179 : 7,768.38 = 1,283.44 : x
  2. Step 2: Convert to fraction form
    5,179/7,768.38 = 1,283.44/x
  3. Step 3: Cross multiply
    5,179x = 7,768.38 × 1,283.44
  4. Step 4: Simplify right side
    5,179x = 9,970,249.63
  5. Step 5: Solve for x
    x = 9,970,249.63/5,179
  6. Step 6: Final answer
    x = 1,925.13

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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.