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Finding the Fourth Proportional to 9,939.40, 14,911.10 and 2,919.40

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Solution

The fourth proportional to 9,939.40, 14,911.10 and 2,919.40 is: 4,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.40 : 14,911.10 = 2,919.40 : x
  2. Step 2: Convert to fraction form
    9,939.40/14,911.10 = 2,919.40/x
  3. Step 3: Cross multiply
    9,939.40x = 14,911.10 × 2,919.40
  4. Step 4: Simplify right side
    9,939.40x = 43,531,465.34
  5. Step 5: Solve for x
    x = 43,531,465.34/9,939.40
  6. Step 6: Final answer
    x = 4,379.69

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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.