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Finding the Fourth Proportional to 11,641.76, 16,062 and 6,605.60

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Solution

The fourth proportional to 11,641.76, 16,062 and 6,605.60 is: 9,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.76 : 16,062 = 6,605.60 : x
  2. Step 2: Convert to fraction form
    11,641.76/16,062 = 6,605.60/x
  3. Step 3: Cross multiply
    11,641.76x = 16,062 × 6,605.60
  4. Step 4: Simplify right side
    11,641.76x = 106,099,147.20
  5. Step 5: Solve for x
    x = 106,099,147.20/11,641.76
  6. Step 6: Final answer
    x = 9,113.67

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1.5x scale

Why These Related Problems?

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