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Finding the Fourth Proportional to 10,982, 16,473 and 4,056.50

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Solution

The fourth proportional to 10,982, 16,473 and 4,056.50 is: 6,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982 : 16,473 = 4,056.50 : x
  2. Step 2: Convert to fraction form
    10,982/16,473 = 4,056.50/x
  3. Step 3: Cross multiply
    10,982x = 16,473 × 4,056.50
  4. Step 4: Simplify right side
    10,982x = 66,822,724.50
  5. Step 5: Solve for x
    x = 66,822,724.50/10,982
  6. Step 6: Final answer
    x = 6,084.75

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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.