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Finding the Fourth Proportional to 11,496.63, 17,220.65 and 5,261.86

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Solution

The fourth proportional to 11,496.63, 17,220.65 and 5,261.86 is: 7,881.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.63 : 17,220.65 = 5,261.86 : x
  2. Step 2: Convert to fraction form
    11,496.63/17,220.65 = 5,261.86/x
  3. Step 3: Cross multiply
    11,496.63x = 17,220.65 × 5,261.86
  4. Step 4: Simplify right side
    11,496.63x = 90,612,649.41
  5. Step 5: Solve for x
    x = 90,612,649.41/11,496.63
  6. Step 6: Final answer
    x = 7,881.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.