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Finding the Fourth Proportional to 11,365.62, 15,684.64 and 6,649

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Solution

The fourth proportional to 11,365.62, 15,684.64 and 6,649 is: 9,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.62 : 15,684.64 = 6,649 : x
  2. Step 2: Convert to fraction form
    11,365.62/15,684.64 = 6,649/x
  3. Step 3: Cross multiply
    11,365.62x = 15,684.64 × 6,649
  4. Step 4: Simplify right side
    11,365.62x = 104,287,171.36
  5. Step 5: Solve for x
    x = 104,287,171.36/11,365.62
  6. Step 6: Final answer
    x = 9,175.67

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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.