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Finding the Fourth Proportional to 4,810.78, 7,206.82 and 3,162.32

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Solution

The fourth proportional to 4,810.78, 7,206.82 and 3,162.32 is: 4,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.78 : 7,206.82 = 3,162.32 : x
  2. Step 2: Convert to fraction form
    4,810.78/7,206.82 = 3,162.32/x
  3. Step 3: Cross multiply
    4,810.78x = 7,206.82 × 3,162.32
  4. Step 4: Simplify right side
    4,810.78x = 22,790,219.18
  5. Step 5: Solve for x
    x = 22,790,219.18/4,810.78
  6. Step 6: Final answer
    x = 4,737.32

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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.