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Finding the Fourth Proportional to 9,883.42, 13,642.60 and 6,109.48

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Solution

The fourth proportional to 9,883.42, 13,642.60 and 6,109.48 is: 8,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.42 : 13,642.60 = 6,109.48 : x
  2. Step 2: Convert to fraction form
    9,883.42/13,642.60 = 6,109.48/x
  3. Step 3: Cross multiply
    9,883.42x = 13,642.60 × 6,109.48
  4. Step 4: Simplify right side
    9,883.42x = 83,349,191.85
  5. Step 5: Solve for x
    x = 83,349,191.85/9,883.42
  6. Step 6: Final answer
    x = 8,433.23

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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.