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Finding the Fourth Proportional to 9,630.50, 14,446.16 and 3,056.54

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Solution

The fourth proportional to 9,630.50, 14,446.16 and 3,056.54 is: 4,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.50 : 14,446.16 = 3,056.54 : x
  2. Step 2: Convert to fraction form
    9,630.50/14,446.16 = 3,056.54/x
  3. Step 3: Cross multiply
    9,630.50x = 14,446.16 × 3,056.54
  4. Step 4: Simplify right side
    9,630.50x = 44,155,265.89
  5. Step 5: Solve for x
    x = 44,155,265.89/9,630.50
  6. Step 6: Final answer
    x = 4,584.94

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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.