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Finding the Fourth Proportional to 4,810.78, 7,222.52 and 4,755.43

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Solution

The fourth proportional to 4,810.78, 7,222.52 and 4,755.43 is: 7,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.78 : 7,222.52 = 4,755.43 : x
  2. Step 2: Convert to fraction form
    4,810.78/7,222.52 = 4,755.43/x
  3. Step 3: Cross multiply
    4,810.78x = 7,222.52 × 4,755.43
  4. Step 4: Simplify right side
    4,810.78x = 34,346,188.28
  5. Step 5: Solve for x
    x = 34,346,188.28/4,810.78
  6. Step 6: Final answer
    x = 7,139.42

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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.