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Finding the Fourth Proportional to 9,914.35, 14,863.64 and 4,913.21

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Solution

The fourth proportional to 9,914.35, 14,863.64 and 4,913.21 is: 7,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.35 : 14,863.64 = 4,913.21 : x
  2. Step 2: Convert to fraction form
    9,914.35/14,863.64 = 4,913.21/x
  3. Step 3: Cross multiply
    9,914.35x = 14,863.64 × 4,913.21
  4. Step 4: Simplify right side
    9,914.35x = 73,028,085.80
  5. Step 5: Solve for x
    x = 73,028,085.80/9,914.35
  6. Step 6: Final answer
    x = 7,365.90

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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.