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Finding the Fourth Proportional to 9,531.21, 13,153.14 and 5,282.34

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Solution

The fourth proportional to 9,531.21, 13,153.14 and 5,282.34 is: 7,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.21 : 13,153.14 = 5,282.34 : x
  2. Step 2: Convert to fraction form
    9,531.21/13,153.14 = 5,282.34/x
  3. Step 3: Cross multiply
    9,531.21x = 13,153.14 × 5,282.34
  4. Step 4: Simplify right side
    9,531.21x = 69,479,357.55
  5. Step 5: Solve for x
    x = 69,479,357.55/9,531.21
  6. Step 6: Final answer
    x = 7,289.67

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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.