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Finding the Fourth Proportional to 9,596.88, 13,243.91 and 5,405.13

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Solution

The fourth proportional to 9,596.88, 13,243.91 and 5,405.13 is: 7,459.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.88 : 13,243.91 = 5,405.13 : x
  2. Step 2: Convert to fraction form
    9,596.88/13,243.91 = 5,405.13/x
  3. Step 3: Cross multiply
    9,596.88x = 13,243.91 × 5,405.13
  4. Step 4: Simplify right side
    9,596.88x = 71,585,028.23
  5. Step 5: Solve for x
    x = 71,585,028.23/9,596.88
  6. Step 6: Final answer
    x = 7,459.20

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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.