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Finding the Fourth Proportional to 4,783.78, 7,176 and 1,663.39

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Solution

The fourth proportional to 4,783.78, 7,176 and 1,663.39 is: 2,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.78 : 7,176 = 1,663.39 : x
  2. Step 2: Convert to fraction form
    4,783.78/7,176 = 1,663.39/x
  3. Step 3: Cross multiply
    4,783.78x = 7,176 × 1,663.39
  4. Step 4: Simplify right side
    4,783.78x = 11,936,450.76
  5. Step 5: Solve for x
    x = 11,936,450.76/4,783.78
  6. Step 6: Final answer
    x = 2,495.19

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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.