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Finding the Fourth Proportional to 9,293.40, 13,940.70 and 4,919.40

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Solution

The fourth proportional to 9,293.40, 13,940.70 and 4,919.40 is: 7,379.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.40 : 13,940.70 = 4,919.40 : x
  2. Step 2: Convert to fraction form
    9,293.40/13,940.70 = 4,919.40/x
  3. Step 3: Cross multiply
    9,293.40x = 13,940.70 × 4,919.40
  4. Step 4: Simplify right side
    9,293.40x = 68,579,879.58
  5. Step 5: Solve for x
    x = 68,579,879.58/9,293.40
  6. Step 6: Final answer
    x = 7,379.42

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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.