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Finding the Fourth Proportional to 6,282.08, 8,660 and 4,787.40

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Solution

The fourth proportional to 6,282.08, 8,660 and 4,787.40 is: 6,599.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.08 : 8,660 = 4,787.40 : x
  2. Step 2: Convert to fraction form
    6,282.08/8,660 = 4,787.40/x
  3. Step 3: Cross multiply
    6,282.08x = 8,660 × 4,787.40
  4. Step 4: Simplify right side
    6,282.08x = 41,458,884
  5. Step 5: Solve for x
    x = 41,458,884/6,282.08
  6. Step 6: Final answer
    x = 6,599.55

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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.