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Finding the Fourth Proportional to 8,482.34, 12,730.02 and 4,787.84

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Solution

The fourth proportional to 8,482.34, 12,730.02 and 4,787.84 is: 7,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.34 : 12,730.02 = 4,787.84 : x
  2. Step 2: Convert to fraction form
    8,482.34/12,730.02 = 4,787.84/x
  3. Step 3: Cross multiply
    8,482.34x = 12,730.02 × 4,787.84
  4. Step 4: Simplify right side
    8,482.34x = 60,949,298.96
  5. Step 5: Solve for x
    x = 60,949,298.96/8,482.34
  6. Step 6: Final answer
    x = 7,185.43

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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.