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Finding the Fourth Proportional to 8,811.81, 13,207.64 and 3,611.25

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Solution

The fourth proportional to 8,811.81, 13,207.64 and 3,611.25 is: 5,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.81 : 13,207.64 = 3,611.25 : x
  2. Step 2: Convert to fraction form
    8,811.81/13,207.64 = 3,611.25/x
  3. Step 3: Cross multiply
    8,811.81x = 13,207.64 × 3,611.25
  4. Step 4: Simplify right side
    8,811.81x = 47,696,071.89
  5. Step 5: Solve for x
    x = 47,696,071.89/8,811.81
  6. Step 6: Final answer
    x = 5,412.74

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Why These Related Problems?

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