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Finding the Fourth Proportional to 9,582.90, 13,224.38 and 5,391.15

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Solution

The fourth proportional to 9,582.90, 13,224.38 and 5,391.15 is: 7,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.90 : 13,224.38 = 5,391.15 : x
  2. Step 2: Convert to fraction form
    9,582.90/13,224.38 = 5,391.15/x
  3. Step 3: Cross multiply
    9,582.90x = 13,224.38 × 5,391.15
  4. Step 4: Simplify right side
    9,582.90x = 71,294,589.28
  5. Step 5: Solve for x
    x = 71,294,589.28/9,582.90
  6. Step 6: Final answer
    x = 7,439.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.