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Finding the Fourth Proportional to 9,834.03, 13,580.57 and 8,409.47

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Solution

The fourth proportional to 9,834.03, 13,580.57 and 8,409.47 is: 11,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.03 : 13,580.57 = 8,409.47 : x
  2. Step 2: Convert to fraction form
    9,834.03/13,580.57 = 8,409.47/x
  3. Step 3: Cross multiply
    9,834.03x = 13,580.57 × 8,409.47
  4. Step 4: Simplify right side
    9,834.03x = 114,205,349.12
  5. Step 5: Solve for x
    x = 114,205,349.12/9,834.03
  6. Step 6: Final answer
    x = 11,613.28

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