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Finding the Fourth Proportional to 6,078, 8,387.64 and 3,283.50

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Solution

The fourth proportional to 6,078, 8,387.64 and 3,283.50 is: 4,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078 : 8,387.64 = 3,283.50 : x
  2. Step 2: Convert to fraction form
    6,078/8,387.64 = 3,283.50/x
  3. Step 3: Cross multiply
    6,078x = 8,387.64 × 3,283.50
  4. Step 4: Simplify right side
    6,078x = 27,540,815.94
  5. Step 5: Solve for x
    x = 27,540,815.94/6,078
  6. Step 6: Final answer
    x = 4,531.23

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1.5x scale

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.