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Finding the Fourth Proportional to 9,289.82, 13,938.82 and 4,359.04

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Solution

The fourth proportional to 9,289.82, 13,938.82 and 4,359.04 is: 6,540.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.82 : 13,938.82 = 4,359.04 : x
  2. Step 2: Convert to fraction form
    9,289.82/13,938.82 = 4,359.04/x
  3. Step 3: Cross multiply
    9,289.82x = 13,938.82 × 4,359.04
  4. Step 4: Simplify right side
    9,289.82x = 60,759,828.19
  5. Step 5: Solve for x
    x = 60,759,828.19/9,289.82
  6. Step 6: Final answer
    x = 6,540.47

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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.