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Finding the Fourth Proportional to 12,182.88, 16,812.78 and 7,466.25

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Solution

The fourth proportional to 12,182.88, 16,812.78 and 7,466.25 is: 10,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.88 : 16,812.78 = 7,466.25 : x
  2. Step 2: Convert to fraction form
    12,182.88/16,812.78 = 7,466.25/x
  3. Step 3: Cross multiply
    12,182.88x = 16,812.78 × 7,466.25
  4. Step 4: Simplify right side
    12,182.88x = 125,528,297.28
  5. Step 5: Solve for x
    x = 125,528,297.28/12,182.88
  6. Step 6: Final answer
    x = 10,303.67

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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.