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Finding the Fourth Proportional to 9,678, 14,493.62 and 5,505.35

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Solution

The fourth proportional to 9,678, 14,493.62 and 5,505.35 is: 8,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678 : 14,493.62 = 5,505.35 : x
  2. Step 2: Convert to fraction form
    9,678/14,493.62 = 5,505.35/x
  3. Step 3: Cross multiply
    9,678x = 14,493.62 × 5,505.35
  4. Step 4: Simplify right side
    9,678x = 79,792,459.57
  5. Step 5: Solve for x
    x = 79,792,459.57/9,678
  6. Step 6: Final answer
    x = 8,244.73

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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.