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Finding the Fourth Proportional to 9,969.43, 14,945.65 and 4,419.75

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Solution

The fourth proportional to 9,969.43, 14,945.65 and 4,419.75 is: 6,625.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.43 : 14,945.65 = 4,419.75 : x
  2. Step 2: Convert to fraction form
    9,969.43/14,945.65 = 4,419.75/x
  3. Step 3: Cross multiply
    9,969.43x = 14,945.65 × 4,419.75
  4. Step 4: Simplify right side
    9,969.43x = 66,056,036.59
  5. Step 5: Solve for x
    x = 66,056,036.59/9,969.43
  6. Step 6: Final answer
    x = 6,625.86

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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.