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Finding the Fourth Proportional to 6,362, 8,780.04 and 3,878.48

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Solution

The fourth proportional to 6,362, 8,780.04 and 3,878.48 is: 5,352.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362 : 8,780.04 = 3,878.48 : x
  2. Step 2: Convert to fraction form
    6,362/8,780.04 = 3,878.48/x
  3. Step 3: Cross multiply
    6,362x = 8,780.04 × 3,878.48
  4. Step 4: Simplify right side
    6,362x = 34,053,209.54
  5. Step 5: Solve for x
    x = 34,053,209.54/6,362
  6. Step 6: Final answer
    x = 5,352.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.