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Finding the Fourth Proportional to 9,982, 14,970.45 and 2,960.38

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Solution

The fourth proportional to 9,982, 14,970.45 and 2,960.38 is: 4,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982 : 14,970.45 = 2,960.38 : x
  2. Step 2: Convert to fraction form
    9,982/14,970.45 = 2,960.38/x
  3. Step 3: Cross multiply
    9,982x = 14,970.45 × 2,960.38
  4. Step 4: Simplify right side
    9,982x = 44,318,220.77
  5. Step 5: Solve for x
    x = 44,318,220.77/9,982
  6. Step 6: Final answer
    x = 4,439.81

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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.